Eric's garden is in the shape of a rectangle. The length is 10 feet less than twice the width, and the perimeter is 160 feet. Find the length of the garden.

Answer 1

w represents the width

2w - 10 represents the length

160 = 2(w + 2w - 10)

80 = 3w - 10

90 = 3w

30 = w

What is the length?

Answer 2

If we indicate the length of the rectangle with l, and the width with w, we can write the system of equations

l = 2*w-10 => The length is 10 feet less than the twice the width

2*l+2*w = 160 => It comes from the information that the perimeter is equal to 160 feet

We can solve the system of equations, by substituting the first equation in the secont

2*(2*w-10)+2*w=160

4*w-20+2*w=160

6*w = 180

w = 30

Therefore, we can find the length

l = 2*30-10=50

The width is 30 feet, and the length is 50 feet.