Measurement & Geometry · Guided Practice

Perimeter Circumference and Area

11 questions with answers and video solutions. Try each one before revealing the answer.

1
A rectangle measures 8\displaystyle 8 cm by 5\displaystyle 5 cm.
Calculate:
(a) its perimeter
(b) its area
Video solution coming soon
2
A circle has a radius of 7\displaystyle 7 cm.
Calculate its circumference.
Give your answer to 1 decimal place.
Video solution coming soon
3
A circle has a diameter of 10\displaystyle 10 m.
Calculate its area.
Give your answer to 1 decimal place.
Video solution coming soon
4
A semicircle has a radius of 6\displaystyle 6 cm.
Calculate its area.
Give your answer to 1 decimal place.
Video solution coming soon
5
A rectangular lawn measures 12\displaystyle 12 m by 7\displaystyle 7 m.
A rectangular pond measuring 3\displaystyle 3 m by 4\displaystyle 4 m is dug out of it.
Calculate the remaining area of lawn.
Video solution coming soon
6
A quarter circle has a radius of 8\displaystyle 8 cm.
Calculate its perimeter.
Give your answer to 1 decimal place.
Video solution coming soon
7
2018 P1 Q11
3 Marks

Ribbon has to be placed around the outside of the love heart cake shown below.

Love heart cake with dimensions 40 cm across the top and side length 34 cm

The top of the cake is in the shape of an isosceles triangle with two identical semi-circles.
The ribbon needs to be the length of the perimeter of the top of the cake plus an extra 2.8 cm.

Calculate the length of ribbon needed for the cake.
Take π=3.14.\displaystyle \pi = 3.14.

8
2018 P1 Q13
3 Marks

A lawn is to be created in the shape of an isosceles triangle with dimensions as shown below.

Isosceles triangle with base 12 m and equal sides 10 m

Calculate the area of the lawn.

9
2022 P1 Q9
2 Marks

Zainab designs a new badge.
The design is based on a rectangle and a semi-circle as shown in the diagram.

Badge diagram with rectangle and semi-circle. Dimensions 10 cm height and 20 cm total width.

She decides to put gold edging around the badge.
Calculate the length of gold edging she needs.
Take π=3.14.\displaystyle \pi = 3.14.

10
2022 P1 Q11
4 Marks

A flag is in the shape of an isosceles triangle with a rectangle on the top.

Flag shaped as isosceles triangle with rectangle on top. Rectangle width 10cm, height 4cm. Slant side of triangle is 13cm.

Calculate the area of the flag.

11
2024 P1 Q9
2 Marks

A banner is being edged with ribbon.
It is in the shape of a rectangle and two quarter circles.

Diagram of a banner composed of a rectangle and two quarter circles at the top, with dimensions 40 cm width and 160 cm straight edge height

Calculate the length of ribbon needed to edge the banner.
Use π=3.14\displaystyle \pi = 3.14