Question

The area of a rectangular field is 99m2. The length of one side is

11m. The farmer needs to know its perimeter to work out how
much fencing will be needed? Help

Answer 1

40 m

Explanation:

The length of another side

= 99÷11

= 9 m

The perimeter of the field

= 9×2 + 11×2

= 40 m

Answer 2

40 m

Explanation:

Hi there!

What we know:

• The field is rectangular
• A = 99 m²
• Length of one side = 11 m

1) Find the length of the other side

Plug all the given information into the area formula for a rectangle:

`A=lw` where A is the area, l is the length and w is the width

`99=11w`

Divide both sides by 11 to isolate w

`(99)/(11) = (11w)/(11) \\9=w`

Therefore, the width of the field is 9 m.

2) Find the perimeter of the field

`P=2(l+w)` where l is the length and w is the width

Plug in the length (11 m) and the width (9 m)

`P=2(11+9)\\P=2(20)\\P=40`

Therefore, the perimeter of the field is 40 m.

I hope this helps!