Exercise 1

A square garden with a side length of 150 m has a square swimming pool in the very centre with a side length of 25 m . Calculate the area of the garden.

Exercise 2

A rectangular garden has dimensions of 30 m by 20 m and is divided in to 4 parts by two pathways that run perpendicular from its sides. One pathway has a width of 8 dm and the other, 7 dm. Calculate the total usable area of the garden.

Exercise 3

Calculate the area of the quadrilateral that results from drawing lines between the midpoints of the sides of a rectangle whose base and height are 8 and 6 cm respectively.

Exercise 4

A line connects the midpoint of BC (Point E), with Point D in the square ABCD shown below. Calculate the area of the acquired trapezoid shape if the square has a side of 4 m.

Exercise 5

Calculate the amount of paint needed to paint the front of this building knowing that 0.5 kg of paint is needed per m².

Exercise 6

A wooded area is in the shape of a a trapezoid whose bases measure 128 m and 92 m and its height is 40 m. A 4 m wide walkway is constructed which runs perpendicular to the two bases. Calculate the area of the wooded area after the addition of the walkway.

Solution of exercise 1

A square garden with a side length of 150 m has a square swimming pool in the very centre with a side length of 25 m . Calculate the area of the garden.

AP = 25² = 625 m²

AJ = 150² − 625 = 21 875 m²

Solution of exercise 2

A rectangular garden has dimensions of 30 m by 20 m and is divided in to 4 parts by two pathways that run perpendicular from its sides. One pathway has a width of 8 dm and the other, 7 dm. Calculate the total usable area of the garden.

 

8 dm = 0.8 m

h = 20 - 0.8 = 19.2 m

7 dm = 0.7 m

b = 30 − 0.7 = 29.3m

AG = 19.2 · 29.3 = 562.56 m²

Solution of exercise 3

Calculate the area of the quadrilateral that results from drawing lines between the midpoints of the sides of a rectangle whose base and height are 8 and 6 cm respectively.

Solution of exercise 4

A line connects the midpoint of BC (Point E), with Point D in the square ABCD. Calculate the area of the acquired trapezoid shape if the trapezoid shape of the square has a side of 4 m.

Solution of exercise 5

Calculate the amount of paint needed to paint the front of this building knowing that 0.5 kg of paint is needed per m².

Solution of exercise 6

A wooded area is in the shape of a a trapezoid whose bases measure 128 m and 92 m and its height is 40 m. A 4 m wide walkway is constructed which runs perpendicular to the two bases. Calculate the area of the wooded area after the addition of the walkway.

AZ = ATrapezoid − AWalk

Did you like the article?

1 Star2 Stars3 Stars4 Stars5 Stars (No Ratings Yet)
Loading...

Emma

I am passionate about travelling and currently live and work in Paris. I like to spend my time reading, gardening, running, learning languages and exploring new places.

Did you like
this resource?

Bravo!

Download it in pdf format by simply entering your e-mail!

{{ downloadEmailSaved }}

Your email is not valid