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

Answer:

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

Step-by-step 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