AREA OF PARALLELOGRAMS TRIANGLES AND TRAPEZOIDS WORKSHEET

Problem 1 :

A parking lot is constructed in the shape of a parallelogram. What is the area of the parking lot?

area-of-tri-trapezium-parallelogramq1

Solution

Problem 2 :

For a school dance, a section of the gymnasium has been designated as the dance floor. Ms. Picciuto needs to determine the area of the dance floor so she will know how many students can dance at one time. What is the area of the dance floor?

area-of-tri-trapezium-parallelogramq2.png

Solution

Problem 3 :

The triangular swimming pool shown is surrounded by a concrete patio. Find the area of the patio. Round to the nearest tenth if necessary.

area-of-tri-trapezium-parallelogramq3.png

Solution

Problem 4 :

Sherice plays the bass in a garage band. Sherice’s parents let her and her friends use a section of their garage in the shape of a parallelogram for rehearsals. How much space in square feet does Sherice’s band have to practice in?

area-of-tri-trapezium-parallelogramq4.png

Solution

Problem 5 :

A 7-foot by 3-foot doorway is to be cut into the trapezoid shaped wall shown. What is the area of the wall, without the doorway?

area-of-tri-trapezium-parallelogramq5.png

Solution

Problem 6 :

The wall in problem 5 is to be painted. If one can of paint covers 110 square feet, how many cans of paint will be needed if only one coat of paint is applied?

Solution

Problem 7 :

Find the missing measurements for the parallelogram.

area-of-tri-trapezium-parallelogramq6.png

Solution

Problem 8 :

Find the area of compound shape

area-of-tri-trapezium-parallelogramq7.png

Solution

Problem 9 :

area-of-tri-trapezium-parallelogramq8.png

Solution

Problem 10 :

Kasia wants someone to paint the side of her house. It looks like below.

area-of-tri-trapezium-parallelogramq9.png

a) What is the area of the side of the house ?

b) Danilo charges $4.50 per square meter for painting. How much will Danilo charge for painting the side of the house ?

Solution

Answer Key

1)  24000 square ft

2)  3000 square ft

3)  40.5 m2

4)  60 square ft

5)  439 square ft

6)  4 cans are required

7)  x = 4 mm

8)  84 cm2

9)  22 cm2

10)  $247.5

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