Question

The length of a rectangle is 4 more than twice the width. If the area is 70 yards, find the width and the length.

Answer 1

Answer:

l=14 yards and w=5 yards

Step-by-step explanation:

Let the width be w units, then the length of the rectangle is:

$l = 2w + 4$

The area of the rectangle is given as 79 square yards.

This implies that:

$w(2w + 4) = 70$

Expand:

$2 {w}^{2} + 4w = 70$

O

${w}^{2} + 2w - 35 = 0$

We factor to get:

$(w - 5)(w + 7) = 0$

$w = 5 \: o r\: w = - 7$

Since we are talking about length, we have width equal 5 yards.

The length is:

$l = 2 \times 5 + 4 = 14yds$