07.06.2021

The area (A) of a rectangle varies jointly as the length (l) and the width (w), and whose A = 60 sq. cm when l = 4 cm and w = 3 cm. What is the area of rectangle if the length is 6 cm and whose width is 3 cm?

. 1

Step-by-step answer

24.06.2023, solved by verified expert
Unlock the full answer
1 students found this answer . helpful

The area is 90 sq. cm

Step-by-step explanation:

Given

The variation can be represented as:

The area (A) of a rectangle varies jointly as, №17886588, 07.06.2021 21:48

Area = 60, when l = 4 and w = 3

Required

Find Area, when l = 6 and w = 3

Represent the variation as an equation

The area (A) of a rectangle varies jointly as, №17886588, 07.06.2021 21:48

Where k is the constant of variation.

Substitute 60 for A, 4 for l and 3 for w

The area (A) of a rectangle varies jointly as, №17886588, 07.06.2021 21:48

The area (A) of a rectangle varies jointly as, №17886588, 07.06.2021 21:48

Make k the subject

The area (A) of a rectangle varies jointly as, №17886588, 07.06.2021 21:48

The area (A) of a rectangle varies jointly as, №17886588, 07.06.2021 21:48

The area (A) of a rectangle varies jointly as, №17886588, 07.06.2021 21:48

To get the value of Area when l = 6 and w = 3.

Substitute 5 for k, 6 for l and 3 for w in The area (A) of a rectangle varies jointly as, №17886588, 07.06.2021 21:48

The area (A) of a rectangle varies jointly as, №17886588, 07.06.2021 21:48

The area (A) of a rectangle varies jointly as, №17886588, 07.06.2021 21:48

The area is 90 sq. cm

It is was helpful?

Faq

Mathematics
Step-by-step answer
P Answered by PhD

The area is 90 sq. cm

Step-by-step explanation:

Given

The variation can be represented as:

A\ \alpha\ l * w

Area = 60, when l = 4 and w = 3

Required

Find Area, when l = 6 and w = 3

Represent the variation as an equation

A = k(l * w)

Where k is the constant of variation.

Substitute 60 for A, 4 for l and 3 for w

60 = k * (4 * 3)

60 = k * 12

Make k the subject

\frac{60}{12} = k

5=k

k=5

To get the value of Area when l = 6 and w = 3.

Substitute 5 for k, 6 for l and 3 for w in A = k(l * w)

A = 5 * 6 * 3

A = 90

The area is 90 sq. cm

Mathematics
Step-by-step answer
P Answered by PhD

The answer is in the image 

The answer is in the image 
Mathematics
Step-by-step answer
P Answered by PhD

F=ma

where F=force

m=mass

a=acceleration

Here,

F=4300

a=3.3m/s2

m=F/a

    =4300/3.3

    =1303.03kg

Approximately it is aqual to 1300kg

Mathematics
Step-by-step answer
P Answered by PhD

The answer is in the image 

The answer is in the image 
Mathematics
Step-by-step answer
P Answered by PhD

Salesperson will make 6% of 1800

=(6/100)*1800

=108

Salesperson will make $108 in $1800 sales

Mathematics
Step-by-step answer
P Answered by PhD

Speed=Distance/time

Here,

distance=15m

time=1sec

speed=15/1=15m/sec

Distance=Speed*time

time=15min=15*60sec=900sec

Distance travelled in 15 min=15*900=13,500m

=13500/1000 km=13.5Km

Mathematics
Step-by-step answer
P Answered by PhD

The wood before starting =12 feet

Left wood=6 feet

Wood used till now=12-6=6 feet

Picture frame built till now= 6/(3/4)

=8 pieces

Therefore, till now 8 pieces have been made.

Mathematics
Step-by-step answer
P Answered by PhD

The wood before starting =12 feet

Left wood=6 feet

Wood used till now=12-6=6 feet

Picture frame built till now= 6/(3/4)

=8 pieces

Therefore, till now 8 pieces have been made.

Try asking the Studen AI a question.

It will provide an instant answer!

FREE