Question

The length of a rectangle is the sum of the width and 1. The area of the rectangle is 20 units. What is the width, in units, of the rectangle?

Answer 1

Answer:4 units

Step-by-step explanation:

Answer 2

Therefore the width of the given rectangle is 4 units.

Step-by-step explanation:

Rectangle:

1. The opposite sides of a rectangle are equal.
2. The sum of adjacent angles is 180°.
3. The sum of four angles are 360°.
4. The perimeter of a rectangle is = 2(length+width)
5. The area of a rectangle is (length×width).

The length of the given rectangle is the sum of the width and 1.

Consider the width of the rectangle be x units.

Then the length of the given rectangle is =(x+1) units.

Given the area of the rectangle is 20 units.

Again the area of the rectangle = length ×width

                                                    =[(x+1)x] square units

                                                    =(x²+x) square units

According to the problem,

x²+x =20

⇒x²+x-20=0

⇒x²+5x-4x-20=0

⇒x(x+5)-4(x+5)=0

⇒(x+5)(x-4)=0

⇒x = -5, 4

Since x can not be negative.

Therefore x=4 units

Therefore the width of the rectangle is 4 units.