Question

A rectangle has a length of 2x + 1 and a width

of 5x - 4. Which expression best describes the
area of the rectangle?
F 7x - 3
H 10x2 – 3x - 4
J 10x2 + 13x - 4
G 14x - 6

Answer 1

H

Explanation:

The rectangle has a length of (2x + 1) and a width of (5x - 4).

And we want to select the expression that represents the rectangle's area.

Recall that a rectangle's area is simply its length multiplied by its width. Thus:

`A=(2x+1)(5x-4)`

Expand by distributing:

`A=(2x+1)(5x)+(2x+1)(-4)`

Distribute:

`A=(10x^2+5x)+(-8x-4)`

Simplify:

`A=10x^2-3x-4`

Hence, our answer is H.