Question

The length of a rectangle is 3 inches greater than the width.

A. Write a polynomial that represents the area of the rectangle.
B. Find the area of the rectangle when the width is 4 inches.

Answer 1

Answer: 28ins²

Explanation:

From the question, let the width of the rectangle = xins.

Therefore, the breadth = ( x + 3 )ins.

(A) The area of the rectangle which is L x B = x( x+ 3 )

= (x² + 3x)ins² . In polynomial.

(B) The area of the rectangle if the width is 4ins, that is if x = 4ins.To find the area, we substitute for x in the area above

= 4² + 3 x 4

= 16 + 12

= 28ins²

Answer 2

A - x (x+3) = Area of the rectangle

B- 28 inches squared

Explanation:

B- using the formula from A

x = 4

x + 3 = 4 +3 = 7

4 times 7 is 28