Question

The perimeter of a rectangle is 192 ft. The ratio of the length its width 7 : 5 what are the dimensions of the rectangle (A. 60 ft by 36 ft (B. 56 ft by 40 ft (C. 48 ft by 48 ft (D. 44 ft by 52 ft

Answer 1

2(l+b)=192
2(7z+5z)=192
24z=192
z=8

l=56
b=40

Answer 2

SOLUTION...

Let the length and width of a rectangle be 7x and 5x respectively.

Now, perimeter of rectangle = 2 (l+b)
2 (7x +5x) = 192.
2×12x = 192
24x = 192.
x = 192/24
x = 8.

Now, length = 7×8 = 56ft.
and, width = 5×8 = 40ft.

Therefore option b.) is correct.

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