Question

Mark wants to fence in his square backyard. He measures the area of his backyard to be 784 square feet. Fencing is sold by the foot, how many feet of fencing will Mark need?
pls give step by step explanation quickly
I will mark as brainliest

Answer 1

Mark will need 112 feet of fencing.

Given:

Mark wants to fence his square backyard.

The area of the backyard = 784 square units

To find:

How many feet of fencing will Mark need?

Solution:

Formula used:

Area of square = side²  

Perimeter of square = 4 × side

Let a be the side of the square yard

Then area of the yard = s²

From the given data, the area of the yard = 784

=>  s² = 784

=>  s² = 28²  

Therefore, the length of the square yard = 28 feets

By the given formula

The perimeter of the yard = 4 × 28 = 112 feet

Therefore,

Mark will need 112 feet of fencing.    

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