Question

the length of a rectangle is 16 inches and its area is (32x+48)square inches. factor the expression for the area. Write an expression for the width.

Answer 1

16t=32x+48
16t=16(2x+3)
t=2x+3

Answer 2

The area of the rectangle is given as (32x+48)square inches

The question is asking us to factor this expression.The common factor of the two expression is 16.Taking 16 as the common factor we have:

(32x+48)= 16(2x+3)

The next part of the question is asking us to Write an expression for the width when length of the rectangle is 16 inches.

Area of rectangle = length x width

Let w represent the width of the rectangle.

16 (w) =16(2x+3)

Dividing both sides by 16.

w= 2x+3.