Question

A rectangle’s length is 2 units more than twice its width. Its area is 40 square units. The equation w(2w + 2) = 40 can be used to find w, the width of the rectangle. What is the width of the rectangle?A rectangle’s length is 2 units more than twice its width. Its area is 40 square units. The equation w(2w + 2) = 40 can be used to find w, the width of the rectangle. What is the width of the rectangle?

Answer 1

Step-by-step explanation:

w(2w+2)=40

2w sq+2w=40

÷2 w sq+w-20

w sq +5w-4w-20

w (w+5)-4(w+5)

w=4

l=10

Answer 2

The width of the rectangle is 4 units.

Given,

The length of the rectangle is 2 units more than twice its width.

Area of the rectangle = 40 sq. units.

To Find,

The width of the rectangle.

Solution,

The formula for calculating the area of the rectangle is

Area of rectangle = l*b = 40

Let the width of the rectangle be w.

So, the length will be 2w+2.

Now,

w(2w+2) = 40

2w²+2w = 40

w²+w-20 = 0

w²+5w-4w-20 = 0

w(w+5)-4(w+5) = 0

w = -5 or 4, -5 is rejected because the width can't be negative.

Hence, the width of the rectangle is 4 units.