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10.05 Story problems with area and perimeter

Lesson

Are you ready?

Do you remember how to find the perimeter and area of a rectangle? Let's try this problem to practice.

Find the area of the rectangle shown.

width = $8$8 m
length = $14$14 m  
  1. $\text{Area }$Area $=$= $\text{length }\times\text{width }$length ×width m2  
    $\text{Area }$Area $=$= $\editable{}\times\editable{}$× m2 (Fill in the values for the length and width.)
    $\text{Area }$Area $=$= $\editable{}$ m2 (Complete the multiplication to find the area.)

Learn

To solve problems involving the perimeter and area of rectangles, we will be using these formulas:

  • Perimeter of a Rectangle $=$= $2$2$\times$×Length $+$+ $2$2$\times$×Width
  • Area of a Rectangle $=$= Length$\times$×Width

This video looks at how we can use the area of a rectangle to solve real life problems.

Apply

Question 1

Tyesha wants to frame her square window with a string of twinkle lights. The window has a side length of $13$13 in.

  1. Find the length of the string of twinkle lights that Tyesha needs.

Question 2

Minh is using sticky notes to cover his window. This uses up a total of $80$80 sticky notes, and Minh counts that there are $10$10 sticky notes along the length of the window.

  1. How many sticky notes did Minh use along the width of the window?

 

Remember!

A square is a special type of rectangle that has its length and width equal. This means that we can use the rectangle formulas for perimeter and area for a square as well.

Outcomes

5.8a

Solve practical problems that involve perimeter, area, and volume in standard units of measure

5.8b

Differentiate among perimeter, area, and volume and identify whether the application of the concept of perimeter, area, or volume is appropriate for a given situation

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