Question

The length of a rectangle is 14 inches less then it’s width and the perimeter is 72 what is the length and width of the triangle

Answer 1

The length of the rectangle is 11 inches and the width is 25 inches

Explanation:

The correct question is

The length of a rectangle is 14 inches less than it’s width and the perimeter is 72. What is the length and width of the rectangle

Let

x -----> the length of the rectangle

y -----> the width of the rectangle

we know that

The perimeter of the rectangle is equal to

`P=2(x+y)`

we have

`P=72\ units`

so

`72=2(x+y)`

simplify

`36=(x+y)` -----> equation A

`x=y-14` ----> equation B

substitute equation B in equation A

`36=(y-14)+y`

solve for y

`36=2y-14`

`2y=36+14`

`2y=50`

`y=25\ in`

Find the value of x

`x=25-14=11\ in`

therefore

The length of the rectangle is 11 inches and the width is 25 inches