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Example1

Title: Perimeter of Rectangle

Grade 6+ Lesson s1-l4

Explanation: The best way to understand geometry is by looking at some examples. Take turns and read each example for easy understanding.

Examples

Topics → Definition Example1

Mike is creating a fence around his yard for his new puppy. The perimeter of the yard is 94 feet and the length of the yard is 32 feet. What is the width of the yard?

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Step: 1

Given that the Perimeter(P) is 94 feet & length(l) is 32 feet.

The formula for the perimeter of a rectangle is: Perimeter (P) = 2 × (Length(l) + Width(w)).

Explanation:

In this step, the perimeter of the given fence(P) is 94 meters, and the length(l) is 34 meters.

Step: 2

To determine the length of l by using formula: 94 = 2(32 + w)

⇒ 94 = 64 + 2w

⇒ 94 - 64 = 2w

⇒30 = 2w

Explanation:

In this step, we need to determine the width of w by solving the equation 94 = 2(34 + w). After simplification, we get 30 = 2w.

Step: 3

Now divide 2 on both sides \$30/2\$ = \$2w/2\$

⇒ w = 15

So, the length of the rectangle is 15 feet.

Explanation:

After performing the calculation, it was determined that the width of the fence is 15 feet.