Name:    Lesson 6 - Solve Problems Using Diagrams

1.

The length of a rectangular pool is 2 times longer than its width. Its perimeter is 120 m.
Which equation can be used to represent the perimeter of the pool?

 a. 2w + w = 120 c. 2(2w) + 2w  = 120 b. 2w × w = 120 d. 2w + 2w = 120

2.

What are the dimensions of the pool in question 1?
 a. 40 m by 20 m c. 20 m by 10 m b. 80 m by 40 m d. 10 m by 5 m

3.

The perimeter of this triangle is 133 cm. Which equation can be used to represent the perimeter of this triangle?

 a. 5m + 3 - 6m + 4 - 3m = 133 c. 5m - 3 + 6m + 4 - 3m = 133 b. 5m + 3 + 6m + 4 + 3m = 133 d. 5m + 3 - 6m + 4 + 3m = 133

4.

What is the value of m in the equation from question 3?
 a. 6 b. 9 c. 8 d. 7

5.

What are the lengths of the sides of the triangle in question 3?
 a. 38 cm, 46 cm, 21 cm c. 43 cm, 52 cm, 24 cm b. 33 cm, 18 cm, 40 cm d. 48 cm, 58 cm, 27 cm

6.

The length of a rectangular parking lot is represented by the expression 8w + 5.
The width is represented by the expression 6w - 2.
If the perimeter of the parking lot is 986 m, what is the value of w?

 a. 34 b. 36 c. 35 d. 37

7.

What are the dimensions of the parking lot in question 6?
 a. 285 m by 208 m c. 277 m by 202 m b. 301 m by 220 m d. 293 m by 214 m

8.

Éira is 8 cm taller than Cory, and Mika is 16 cm taller than Cory.
Which expressions represent the heights of the three friends?
 a. Cory: h, Éira: h - 8,  Mika: h + 16 b. Cory: h, Éira: h - 8,  Mika: h - 16 c. Cory: h + 8, Éira: h,  Mika: h + 16 d. Cory: h, Éira: h + 8,  Mika: h + 16

9.

The total height of the three friends from question 8 is 465 cm. What is the value of h?
 a. 140 b. 147 c. 152 d. 136

10.

Use your answer to question 9 to determine the height of each of the three friends.
 a. Cory: 140 cm, Éira: 132 cm, Mika: 156 cm b. Cory: 136 cm, Éira: 128 cm, Mika: 120 cm c. Cory: 160 cm, Éira: 152 cm, Mika: 168 cm d. Cory: 147 cm, Éira: 155 cm, Mika: 163 cm