Question

A rectangle whose area is 180 square feet has a width that is 3 feet less than the length. Find the dimensions of the rectangle.

Answer 1

Answer:

The length is $15\ ft$

The width is $12\ ft$

Step-by-step explanation:

we know that

The area of rectangle is equal to

$A=LW$

we have

$A=180\ ft^{2}$

so

$180=LW$ -----> equation A

$W=L-3$ ------> equation B

substitute equation B in equation A and solve for L

$180=L(L-3)$

$180=L^{2}-3L$

$L^{2}-3L-180=0$

using a graphing tool------> solve the quadratic equation

The solution is $L=15\ ft$

see the attached figure

Find the value of W

$W=15-3=12\ ft$