Question

State A is in the shape of a rectangle with a perimeter of 1268 mi. The width is 90 mi less than the length. Find the length and the width.

Answer 1

length = 362 mi

width = 272 mi

Explanation:

Perimeter = 2(length + width)

width = length-90 = L-90

1268 = 2(L + (L-90))

1268/2 = 2L-90

634 = 2L-90

2L = 724

L = 362

width = 362-90 = 272

Answer 2

The length and width of the rectangle is 362 m and 272 m respectively.

Explanation:

Let the length be "x m".

then the width = x - 90 m

Perimeter = 2 x (length + width) ------------------------------(1)

Substituting Length and width value in the above equation (1), we get,

2 x (x+x-90) = 1268

or, 2x - 90 = 1268/2

or, 2x - 90 = 634

or, 2x = 634 + 90

or, 2x = 724

or, x = 724/2

= 362

Thus the length = 362 m

width = 362 - 90 m = 272 m