Question

The perimeter of a rectangle is 96 ft. The width is three times a number and the length is eight more than five

times the same number. Find the number and each dimension

Answer 1

Hence, the number is 5

Width=15 ft

Length=33 ft

Explanation:

Let the number be x

Hence,

Width= 3x

Length = 8+5x

As we know that perimeter of a rectangle = 2( Length + Width)

Hence,

`2(3x + 8 + 5x) = 96 \\ 2(8x + 8) = 96 \\ 8x + 8 = 48 \\ 8(x + 1) = 48 \\ x + 1 = 6 \\ x = 5`

Hence,

Width=15 ft

Length= 33 ft