geometry question

Question

The area of a rectangle is 15 square inches. If the length of the rectangle is 2 more than the width, find the length and width. 

Answer 1

Area of Rectangle = length * width

if length is 2 more than width , then width= w and length = 2+w

solve-

Area of Rectangle = length * width

15 = (2+w)*w

15 =2w +w²

^means..

w² _{+2w-15 =0}

_{(w+5) or (w-3) = 0}

_{w=-5 or w=3}

ANS width=3 then length=3+2=5

Answer 2

Let's let L = Length and W = width, and A = area of the rectangle.

A=L*W, and since A = 15, then we have

15 = L * W

The length (L) is (=) 2 more than (2 +) the width (W)

So turn these words into math and get L = 2+W

Use this in the equation 15 = L*W

15 = (2+W)(W)

Distribute

15 = 2W + W²

Moving everything to one side

W² + 2W - 15 = 0

Then factor

(W+5)(W-3)=0

so W = -5 or W = 3

And the positive width makes the most sense, so W = 3 inches, Length = 5 inches.