Question

The school designed their vegetable garden to have a perimeter of 32 feet with the length

measuring two feet more than twice the width.
a.
Using to represent the length of the garden and w to represent its width, write and
solve a system of equations that describes this situation.
b. What are the dimensions of the garden?

Answer 1

The equation is

• 2(2+w+W)=32
• 2+2W=16

And

• 2w=14
• w=7

And

L=7+2=9ft

Answer 2

• 7 feet and 9 feet

Explanation:

Perimeter equation:

• P = 2(l + w)

We have:

• 2(l + w) = 32
• l = w + 2

Simplify the first equation and solve by substitution:

• l + w = 16
• w + 2 + w = 16
• 2w = 14
• w = 7

Find the value of l:

• l = 7 + 2 = 9