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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

Sagot :

colevv

Answer:

40 m

Step-by-step explanation:

The length of another side

= 99÷11

= 9 m

The perimeter of the field

= 9×2 + 11×2

= 40 m

theleangreenbean

Answer:

40 m

Step-by-step 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:

[tex]A=lw[/tex] where A is the area, l is the length and w is the width

[tex]99=11w[/tex]

Divide both sides by 11 to isolate w

[tex]\frac{99}{11} = \frac{11w}{11} \\9=w[/tex]

Therefore, the width of the field is 9 m.

2) Find the perimeter of the field

[tex]P=2(l+w)[/tex] where l is the length and w is the width

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

[tex]P=2(11+9)\\P=2(20)\\P=40[/tex]

Therefore, the perimeter of the field is 40 m.

I hope this helps!

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