Mathematics : asked on Maxwell8066

04.04.2020

If a trapezoid has an area of 60 m² and bases of 2 m and 6 m, what's its height?

1

Step-by-step answer

09.07.2023, solved by verified expert

Mathematics, DAV Post Graduate College

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Height of trapezium is 15 m

Step-by-step explanation:

Area of trapezium = 60 m²

We know that,

Where,

Base (B₁) = 2mBase (B₂) = 6mH = Height of trapezium

Substituting values in the formula :

Height of trapezium is 15m

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Helpful Useless

Mathematics, DAV Post Graduate College

6 899 answers

Unlock the full answer

Given :

Base = 2 m and 6 m.Area = 60 m².

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To find :

The height.

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Solution :

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We know,

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Now, Substituting the values :

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⠀

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⠀

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⠀

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Therefore,

The height of the trapezoid is 15 m .

It is was helpful?

Helpful Useless

Faq

Mathematics

If a trapezoid has an area of 60 m² and bases of 2 m and 6 m, what s its height?

Step-by-step answer

P Answered by Master

Height of trapezium is 15 m

Step-by-step explanation:

Area of trapezium = 60 m²

We know that,

$\longrightarrow \sf Area \: of \: trapezium = \dfrac{1}{2} ( B_{1} + B_{2}) \times h$

Where,

Base (B₁) = 2mBase (B₂) = 6mH = Height of trapezium

Substituting values in the formula :

$\longrightarrow \: \: 60 = \dfrac{1}{2} (2 +6) \times h$

$\longrightarrow \: \: 60 = \dfrac{1}{2} (8) \times h$

$\longrightarrow \: \: 60 = 1 \times 4 \times h$

$\longrightarrow \: \: \dfrac{60}{4} = h$

${ \pink{\longrightarrow \: \: { \underline{15m= h }}}}$

Height of trapezium is 15m

Mathematics

Alandscaper is designing a flower garden in the shape of a trapezoid. she wants the length of the shorter base to be 3 yards greater than the height, and the length of the longer base to be 5 yards greater than the height. for what height will the garden have an area of 360 square yards? round to the nearest tenth of a yard. 17.1 yards 34.2 yards 39.2 yards 152.6 yards

Step-by-step answer

P Answered by Master

9

Correct
Option A. 17.1 Yards

Solution:
Let the height of trapezium is x yards. According to the given data, we can express the lengths of bases in terms of height.

The short base is 3 yards greater than the height, so measure of short base will be (x+3) yards.

The longer base is 5 yards greater than the height, so measure of longer base will be (x+5) yards.

Area of trapezium is given to be 360 square yards.

Area of trapezium = 0.5 x (Height) x (Sum of Bases)

Using the values, we get:

$360=0.5(x)(x+3+x+5) \\ \\ 
720=x(2x+8) \\ \\ 
2 x^{2} +8x-720=0 \\ \\ 
2( x^{2} +4x-360)=0 \\ \\ 
 x^{2} +4x-360=0 \\ \\ 
x= \frac{-4+- \sqrt{16-4(1)(-360)} }{2} \\ \\ 
x= \frac{-4+- \sqrt{1456} }{2} \\ \\ 
x = 17.1 , -21.1$

Since the height cannot have a negative value, we conclude that the height of trapezium rounded to nearest tenth of a yard will be 17.1 yards.

Mathematics

Alandscaper is designing a flower garden in the shape of a trapezoid. she wants the length of the shorter base to be 3 yards greater than the height, and the length of the longer base to be 5 yards greater than the height. for what height will the garden have an area of 360 square yards? round to the nearest tenth of a yard. 17.1 yards 34.2 yards 39.2 yards 152.6 yards

Step-by-step answer

P Answered by Specialist

9

Correct
Option A. 17.1 Yards

Solution:
Let the height of trapezium is x yards. According to the given data, we can express the lengths of bases in terms of height.

The short base is 3 yards greater than the height, so measure of short base will be (x+3) yards.

The longer base is 5 yards greater than the height, so measure of longer base will be (x+5) yards.

Area of trapezium is given to be 360 square yards.

Area of trapezium = 0.5 x (Height) x (Sum of Bases)

Using the values, we get:

$360=0.5(x)(x+3+x+5) \\ \\ 
720=x(2x+8) \\ \\ 
2 x^{2} +8x-720=0 \\ \\ 
2( x^{2} +4x-360)=0 \\ \\ 
 x^{2} +4x-360=0 \\ \\ 
x= \frac{-4+- \sqrt{16-4(1)(-360)} }{2} \\ \\ 
x= \frac{-4+- \sqrt{1456} }{2} \\ \\ 
x = 17.1 , -21.1$

Since the height cannot have a negative value, we conclude that the height of trapezium rounded to nearest tenth of a yard will be 17.1 yards.

Mathematics

The trapezoid is composed of a rectangle and two triangles. what is the area of the rectangle? what is the total area of the triangles? what is the area of the trapezoid? a) 48 cm2; 32 cm2; 80 cm 2 b) 48 cm2; 16 cm2; 64 cm 2 c) 128 cm2; 32 cm2; 160 cm 2 d) 128 cm2; 16 cm2; 144 cm 2

Step-by-step answer

P Answered by Specialist

12

The area of rectangle
$8 \times 16 = 128$

the area of total triangles
$2( \frac{4 \times 8}{2} ) = 32$

the area of the trapezoid
128 + 32 = 160

128 + 32 = 160

so C is true

good luck

Mathematics

The trapezoid is composed of a rectangle and two triangles. what is the area of the rectangle? what is the total area of the triangles? what is the area of the trapezoid? a) 48 cm2; 32 cm2; 80 cm 2 b) 48 cm2; 16 cm2; 64 cm 2 c) 128 cm2; 32 cm2; 160 cm 2 d) 128 cm2; 16 cm2; 144 cm 2

Step-by-step answer

P Answered by Master

12

The area of rectangle
$8 \times 16 = 128$

the area of total triangles
$2( \frac{4 \times 8}{2} ) = 32$

the area of the trapezoid
128 + 32 = 160

128 + 32 = 160

so C is true

good luck

Mathematics

Harvey is finding the area of a figure that can be divided into 2 equal trapezoids. the bases of each trapezoid are 14 and 24. the height of each is 8. what is the area of the figure? a) 144 units² b) 152 units² c) 260 units² d) 304 units²

Step-by-step answer

P Answered by Master

7

The equation for 1 trapezoid is 1/2h(b1 + b2) To find two, you can just cancel out the 1/2 to get h(b1 + b2).8 times (14+ 24) is 38. So 8 times 38 is 304 units^2.

Mathematics

Harvey is finding the area of a figure that can be divided into 2 equal trapezoids. the bases of each trapezoid are 14 and 24. the height of each is 8. what is the area of the figure? a) 144 units² b) 152 units² c) 260 units² d) 304 units²

Step-by-step answer

P Answered by Master

7

The equation for 1 trapezoid is 1/2h(b1 + b2) To find two, you can just cancel out the 1/2 to get h(b1 + b2).8 times (14+ 24) is 38. So 8 times 38 is 304 units^2.

Mathematics

PLEASE HELP ASAP! Find the area of the trapezoid. A.60√3 ft^2 B.52√3ft^2 C.44√3ft^2 D.44√3-24ft^2

Step-by-step answer

P Answered by PhD

4

52 sqrt(3) ft^2

Step-by-step explanation:

The area of the trapezoid is found by

A = 1/2 (b1+b2) *h where b1 and b2 are the lengths of the bases and h is the height

A = 1/2 ( 11+15) * 4 sqrt(3)

= 1/2 (26) * 4 sqrt(3)

= 13* 4 sqrt(3)

52 sqrt(3)

Mathematics

What is the area of the following trapezoid? 30 in.2 60 in.2 48.75 in.2 45 in.2

Step-by-step answer

P Answered by PhD

48

square area = 4.5 * 5 =22.5

triangular areas:

7.5 -4.5 = 3/2 = 1.5

1.5 * 5 = 7.5

total area

22.5 + 7.5 = 30 in^2

please mark brainliest

Mathematics

Plz harry baked a cake in the shape of a right rectangular prism and cut it in half parallel to the base of the cake. the base is 6 inches long and 4 inches wide, and the cake is 5 inches tall. harry puts icing on the surface of each half of the cake. what is the shape of the cross section? what is the total area that is iced? the cake’s cross section is a . the total area that is iced is square inches. 1/a.rectangle.b.square.c.kite.d.trapezoid 2/a.40.b.48.c.60.d.84

Step-by-step answer

P Answered by Master

14

The answer is B, a square. I don't know about the area though.

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