What is the area, in square inches, if the isosceles trapezoid below

46.5

Step-by-step explanation:

A=a+b/2*h

A=12.7+5.9/2*5

12.7+5.9=18.6

18.6/2=9.3

9.3*5=46.5

The Area=122.4^2

The Area=122.4^2

A = 39.48 cm²

Step-by-step explanation:

The area (A) of a trapezoid is calculated as

A = h (b₁ + b₂ )

where h is the perpendicular height and b₁, b₂ the parallel bases

Here h = 4.2, b₁ = 13.5, b₂ = 5.3 , then

A = × 4.2 × (13.5 + 5.3) = 2.1 × 18.8 = 39.48 cm²

104.8 in^2

Step-by-step explanation:

There are 2 ways to solve this problem.

The 1st way:

Let's make 2 triangles and 1 rectangle:

Rectangle Length = 8.3

Rectangle Width = 8

So, the left out length will be 17.9 - 8.3

=> 9.6

Since, 9.6 cm is for 2 parts.

=> 9.6 / 2

=> 4.8

So, Height of the Triangle = 8

      Base of the triangle = 4.8

Area of a rectangle

=> 8.3 x 8

=> 66.4

Area of the triangle

=> 1/2 x 8 x 4.8

=> 4 x 4.8

=> 19.2

There are 2 triangles:

=> 19.2 x 2

=> 38.4

=> 66.4 + 38.4

=> 104.8

The area of the trapezoid = 104.8 in^2.

The 2nd way is:

Area of a trapezoid

=> Smaller Base + Larger Base / 2 x Height

=> 8.3 + 17.9 / 2 x 8

=> 26.2 / 2 x 8

=> 13.1 x 8

=> 104.8

The area of the trapezoid is 104.8 in^2

63.48 cm^2

Step-by-step explanation:

the formula for area of a trapezoid is a+b/2 x h when you input those values into the formula and solve you get approximately 63.48 cm^2

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195 square inches

Step-by-step explanation:

The formula for the area of a trapezoid is given by the formula

A = 1/2(b₁+b₂)h

We have b₁ and h.  We must find b₂.

Since this trapezoid is isosceles, the base of the triangle on the right will be the same as the base of the triangle on the left; this means we have 3+3 = 6 extra from the top base, which gives us b₂ = 10+6 = 16:

A = 1/2(10+16)(15) = 1/2(26)(15) = 13(15) = 195