SaiBook.us Geometry

Lesson Example Discussion Quiz: Class Homework

Example

Title: Perimeter of Rectangle

Grade: 6-a 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:

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 ?

Step 1a

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))

$1a$

Explanation: The perimeter of the given fence is 94 meters, and the length is 34 meters.

Step 1b

We now need to determine the length of l by using formula : 94 = 2(32 + w)

⇒ 94 = 64 + 2w

⇒ 94 - 64 = 2w

⇒30 = 2w

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

Step 1c

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

⇒ w = 15

So, the length of the rectangle is 15 feet.

Explanation: After doing the calculation, it was determined that the width of the fence is 15 feet.