Question

The area of rectangular fence is 500 square feet. If the width of the fence is 20 feet then find the its length. What is the perimeter.

Answer 1

Answer:

Given that, the area is 500 square feet and the width is 20 feet. So, substitute these values into the formula. Divide each side by 20 to isolate l . Therefore, the length of the rectangular fence is 25 feet.

Step-by-step explanation:

Answer 2

❍ Question -:

The area of rectangular fence is 500 square feet. If the width of the fence is 20 feet then find the its length. What is the perimeter.

❍ Explanation -:

In this question we are provided with the area of a rectangular fence that is 500 feet². It is also given that the width is 20 feet. We are asked to calculate the length and perimeter of the rectangular fence.

$\small{ \underline{ \underline{\sf{ First \: we \: will \: calculate \: the \: length }}}}$

We will form an equation

It is given that the area is 500 feet² and the width is 20 feet.

$\bull \: \small\boxed{ \rm{ Area_{(rectangle)} = Length × Width}}$

Substituting the values we get

$\small\sf{ 500 = Length × 20}$

Now we will solve this equation and find the value of length

$\small\sf{ 500 = Length × 20}$

$\longmapsto \small\rm \dfrac{{ \cancel{50} \cancel{0}} \: \: 25}{{ \cancel{2} \cancel{0}}}= Length$

$\longmapsto \small\sf{length = 25 \: feet}$

$\small{ \underline{ \underline{\sf{ Now \: we \: will \: calculate \: the \: perimeter}}}}$

We know,

$\bull \: \small\boxed{ \rm{ Perimeter_{(rectangle)} = 2(Length + Width)}}$

$\small\sf{ Perimeter_{(rectangle)} = 2(25+ 20)}$

$\mapsto\small\rm Perimeter_{(rectangle)} = 2(45)$

$\mapsto\small\rm{ Perimeter_{(rectangle)} = 90 \: feet}$

• Hence the length of the rectangular fence is 25 feet and the perimeter of the rectangular fence is 90 feet