Changes in Dimensions
Trapezoids
Parallelograms
Triangles
Missing Dimensions
100

Each side length of a parallelogram is scaled by x4. What would be the change in the perimeter? 

The perimeter would be 4 times bigger.

100

Find the area of a trapezoid: 

base1 = 5 cm

base2 = 9 cm 

height = 4 cm.


Include units in your answer.

28 cm²

100

The area of a parallelogram with a base of 7 m and a height of 4 m. Include units in your answer.

28 m²

100

The area of a triangle with a base of 9 cm and a height of 4 cm. Include units in your answer.

18 cm2

100

The length of a rectangle with an area of 36 cm² and a width of 4 cm. Include units in your answer.

9 cm

200

The base and height of a triangle are going to be made 3 times bigger to create a new triangle. What would be the change in the area?

It would be 3times bigger which is 9 times bigger.

200

The area of a trapezoid:

base 1 = 3m

base 2 = 1m 

height = 2m.

Include units in your answer.

4 m²

200

The area of a parallelogram with a base of 8 cm and a height of 7 cm. Include units in your answer.

56 cm²

200

The area of a triangle with a base of 2 m and a height of 5 m. Include units in your answer.

5 m²

200

The length of a square with an area of 64 m². Include units in your answer.

8 m

300
Each side length of a rectangle is multiplied by 1/3 What would be the change in the perimeter? What would be the change in the area? 

The perimeter would be 1/3 the original perimeter and the area would be (1/3)which is 1/9 the original area. 

300

The area of a trapezoid:

height = 17cm

base 1 = 13cm

base 2 = 10cm.

Include units in your answer.

195.5 cm²

300

The area of a parallelogram with a base of 4 cm and a height of 4.5 cm. Include units in your answer.

18 cm²

300

The area of a triangle with a base of 10 km and a height of 4 km. Include units in your answer.

20 km²

300

Find the height of the parallelogram. Include units in your answer.

Area = 36 meters2

Base = 12 meters

3 meters

400

A stop sign is in the shape of a regular octagon. Sign A has side lengths that are 8 inches and an area of 309 square inches. Sign B has side lengths that are 12 inches. What would be the area of sign B? Include units.

695.25 square inches


Explanation:

Since 8 x 1.5 = 12, the area of sign B is 1/5^2 times the area of 309 square inches. What is the area of sign B? 

400

The area of a trapezoid with a base 1 of 5cm, a height of 7cm and a base 2 of 9cm. Include units in your answer.

49 cm²

400

Find the area of a parallelogram with a base of 12.25 m and a height of 1.6 m WITHOUT a calculator. Include units in your answer.

19.6 m2

400

The area of a triangle with a base of 70 mm and a height of 6 cm? GIVE YOUR ANSWER IN CM. Include units in your answer.

21 cm²

400

Find the height of a triangle with a base of 12 cm and an area of 48 cm². Include units in your answer.

8 cm

500

A dollhouse has a bed with dimensions 1/12 the size of an adult queen-sized bed. The queen-size bed has an area of 4,800 square inches, and a length of 80 inches. What are the side lengths of the dollhouse bed? 

5 and 6 2/3 inches.


Explanation: 

Use the area and length to find the width of the queen-size bed. The width of the bed is 4,800 / 80 = 60 inches. So the width of the dollhouse bed is 60 x 1/12 = 5 inches. The length of the dollhouse bed is 80 x 1/12 = 6 2/3 inches. 

500

Find the area of a trapezoid WITHOUT using a calculator that has the following dimensions:

b1 = 22 1/2

b2 = 25

h = 19 4/5

Include units in your answer. 

470 1/4 feet squared

500

Find the area of a parallelogram whose base is 6.25m and height is 4.5m WITHOUT a calculator. Include the units in your answer.

28.125 metes squared

500

Write an algebraic expression that can be used to find the area of a triangle that has a base of 5 units and a height of x units.

5x/2

500

Find the height of a trapezoid WITHOUT using a calculator. Include units in your answer.

Area=240 cm² 

b1= 20 cm

b2 = 40 cm

8 cm