N4 Maths – Area Practice Questions
1.
A section of lawn edging consists of a rectangle with five equal
semi-circles at the top.
Calculate the area of the section in square centimetres.
Give your answer correct to the nearest square centimetre.
2.
5
A badge showing a clown’s head consists of a semi-circle and a triangle.
Calculate the area of the badge in square centimetres.
Give your answer correct to one decimal place.
5
3.
A sign for a mushroom farm consists of a semi-circle and a rectangle.
Calculate the total area of the sign.
Give your answer correct to the nearest square centimetre.
4.
5
The diagram below shows a semi-circular wall with a door.
The door is a rectangle and is made of wood.
The rest of the wall is made of brick.
Calculate the area of brick wall in square metres.
Give your answer correct to one decimal place.
5
5.
The diagram below shows a birthday card.
The card consists of a rectangle and a semi-circle.
Calculate the area of this card.
Give your answer to the nearest square centimetre.
5
ANSWERS
1.
Rectangle
A=lb
= 60 × 14
= 840 cm2
Circle
A = π r2
= π × 62
= 113·1 cm2
Area of semicircle = ½ of 113·1 = 56·6
Total Area = 840 + 5 × 56·6 = 1123 cm2
2.
Triangle
A=½bh
= ½ × 2·8 × 1·5
= 2·1 cm2
Circle
A = π r2
= π × 1·42
= 6·2 cm2
Area of semicircle = ½ of 6·2 = 3·1
Total Area = 2·1 + 3·1 = 5·2 cm2
3.
Rectangle
A=lb
= 20 × 50
= 1000 cm2
Circle
A = π r2
= π × 402
= 5026·5 cm2
Area of semicircle = ½ of 5026·5 = 2513·25
Total Area = 1000 + 2513·25 = 3513·25 = 3513 cm2
4.
Rectangle
A=lb
= 0·8 × 2·2
= 1·76 m2
Circle
A = π r2
= π × 32
= 28·27 m2
Area of semicircle = ½ of 28·27 = 14·135
Total Area = 14·135 – 1·76 = 12·375 = 12·4 m2
5.
Rectangle
A=lb
= 10 × 12
= 120 cm2
Circle
A = π r2
= π × 62
= 113·1 cm2
Area of semicircle = ½ of 113·1 = 56·55
Total Area = 120 + 56·55 = 176·55 = 177 cm2