Question

the length of the top of a rectangular desk is 24inches more than the width. What are the dimensions of the desk if the area of the top is 1,620 square inches?

Answer 1

Answer:

The dimensions of the desk are

Length: 54 inches

Width: 30 inches

Step-by-step explanation:

we know that

The area of rectangle is equal to

$A=LW$

where

L is the length

W is the width

we have

$A=1,620\ in^2$

so

$1,620=LW$ ----> equation A

$L=W+24$ ----> equation B

substitute equation B in equation A

$1,620=(W+24)W$

solve for W

$1,620=W^2+24W$

$W^2+24W-1,620=0$

Solve the quadratic equation by graphing

The solution is W=30 in

see the attached figure

Find the value of L

$L=30+24=54\ in$

therefore

The dimensions of the desk are

Length: 54 inches

Width: 30 inches