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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 4 - Plane Area Word Problems

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 5 - Plane Area Word Problems

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.

Solution of Exercise 1 - Plane Area Word Problems

 

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.

 

Solution of Exercise 2 - Plane Area Word Problems

 

 

 

 

 

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 3 - Plane Area Word Problems

Area of the quadrilateral =

Area of the rectangle =

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 4 - Plane Area Word Problems

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 5 - Plane Area Word Problems

 

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.

Solution of Exercise 6 - Plane Area Word Problems

 

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Emma

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.