Question

The length and the width of a rectangle is in the ratio of 8:7. If the perimeter of the rectangle is 120 in. What is the length of the rectangle?

Answer 1

Answer:

32 inch

Step-by-step explanation:

Let l and b be 8x and 7x

So,

2(8x+7x)=120

30x=120

X=40

Therefore,

Lenght= 8x40

=320 inches

Answer 2

Answer:

The length of the rectangle is 32 inches.

Step-by-step explanation:

Let the ratio between the length and width be 'x' and let the length and breadth be l and b respectively.

Therefore, According to the first condition-

l/b = 8/7

7l = 8b

7l - 8b = 0 - (i)

According to the second condition-

2(l + b) = 120

2l + 2b = 120 - (ii)

Here, Multiplying equation (ii) by 4-

8l + 8b = 480 - (iii)

Now, we can Add equations (i) and (iii)-

8l + 8b = 480

+

7l - 8b = 0

15l = 480

l = 480/15

Hence, l = 32