Free Printable Finding an unknown length in Measurement

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Finding an unknown length in Measurement

Total questions: 16

Worksheet time: 43mins

Name

Class

Date

The perimeter of a rectangle is 32 cm. Using integers to represent the length and width, predict what the width and the length of the sides of the rectangle will give the largest possible area. Check by drawing different rectangles to see if your prediction is correct.

P\ =2\left(w+l\right)\

A\ =\ l\times w

Write answer as 'width & length' no units i.e. 6 & 10

(a)

The following table gives the bases, heights and areas of various parallelograms. Complete the blanks in the table (without units).

$15,\ 7,\ 10,\ 12,\ 30\ \&\ 42.63$

$8,\ 7,\ 10,\ 8,\ 30\ \&\ 13.6$

Neither of these are correct

Find the length of the following rectangles if it has a width of 4cm and an area of 48cm²

12cm

24cm

Find the length of the following rectangles if it has a width of 5m and an area of 78m². Don't forget to use units and no spaces in solution.

(a)

Write down this question on your working paper, then fill in the missing numbers to determine the Diameter of a circle with a circumference of 15cm.

$D=7.50cm^2$

$D=2.39cm^2$

$D=4.77cm^2$

Calculate the diameter of a circle (correct to 2 decimal places) with a circumference of 18.84 m

3.00m

6.00m

12.00m

Calculate the diameter of a circle (correct to 2 decimal places) with a circumference of 64.81 cm

22.63 cm

21.63 cm

20.63 cm

Calculate the diameter of a circle (correct to 2 decimal places) with a circumference of 74.62 mm

(a)

Calculate the radius of a circle (correct to 2 decimal places) with a circumference of:

a. 12.62 cm

b. 47.35 m

c. 157 mm

a. 2.01cm b. 7.54m c. 24.99mm

a. 2.10cm b. 8.54m c. 26.99mm

a. 2.40cm b. 7.45m c. 25.99mm

10.

Calculate the radius of a tyre with a circumference of 135.56 cm. Give your answer to 2 decimal places with no spaces.

(a)

11.

The total area of wood used to make a set of six identical round coasters is $425cm^2$ .
a. Calculate the area of the wood used in each coaster.
b. Calculate the radius of each coaster correct to 2 decimal places.

$A=70.83cm^2\ \ \ r=1.94cm$

$A=70.83cm^2\ \ \ r=4.75cm$

$A=70.83cm^2\ \ \ r=9.5cm$

12.

Find the side length of a square if it has the same area as a rectangle measuring 18 cm by 50 cm.

length = 60cm

length = 20cm

length = 30cm

13.

Find the width of a rectangle that is 24 cm long if its area is the same as that of a square of side 18 cm. Give answer to one decimal place with no spaces. ie. 4cm

(a)

14.

Find the length of the base of a parallelogram whose height is 5.2 cm and whose area is 18.72 cm².

3.6 cm

5.2 cm

4.3 cm

15.

Find the height of a parallelogram whose base is 7.5 cm long and whose area is 69 cm². Give Answer with units and no gaps.

(a)

16.

The length of the base of a parallelogram is equal to its height. If the area of the parallelogram is

90.25 cm², find its dimensions.

9cm

9.5cm

11.2cm

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Finding an unknown length in Measurement

Total questions: 16

Worksheet time: 43mins

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