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# Class 7 Mathematics Length, Perimeter and Area: Length and its Operations

Class 7 Mathematics Length, Perimeter and Area: Length and its Operations questions and answers

Lessons (**15**) * SHARE*

- 1.
In a trapezium ABCD, AB is parallel to DC. BC is perpendicular to AB and DC. AB =14 cm and BC =5 cm. The area of the trapezium is 100#cm^2#. What is the length of DC?
A. 26cm
B. 6cm
C. 20cm
D. 19cm

3m 24s - 2.
Konchella wants to construct a timber wall 6m long and 2.25m high. Timber is to be placed vertically as shown in the diagram below.

3m 16s - 3.
Kirimi’s rectangular plot of land measures 100 by 50 m. He wanted to fence around it using 3 strands of wire. He had 3 rolls of wire each
measuring 350m. What is the length of the wire that will remain after he has fenced the plot?
A. 50 m
B. 150 m
C. 750 m
D. 900 m

3m 16s - 4.
The length of a rectangular sheet of paper is 3 cm more than its breadth. The sheet of paper has a perimeter of 42 cm. What is its length?
A. 9cm
B. 12cm
C. 19.5cm
D. 22.5cm

3m 13s - 5.
The diagram below represents Kaari’s vegetable garden. Kaari intends to fence the garden using four strands of wire. What length of wire in
metres does she require?
A. 408
B. 404
C. 308
D. 102

4m 22s - 6.
The area of the trapezium EFGH below is 3000#cm^2#. The length of EH is 80 cm and that of FG is 120 cm. EH is parallel to FG and HG is perpendicular to EH and FG. What is the length of GH?
A. 50 cm
B. 30 cm
C. 25 cm
D. 15 cm

2m 36s - 7.
A triangular plot measuring 7.5 metres by 12.5 metres by 15 metres is to be fenced. If the posts are to be 2.5 metres apart, how many posts are needed?
A. 35
B. 17
C. 15
D. 14

2m 15s - 8.
The length of one of the parallel sides of trapezium is 6 cm and the perpendicular height is 4 cm. If the area of the trapezium is 72 #cm^2#, what is the length of the other parallel sides?
A. 30 cm
B. 16.4 cm
C. 12 cm
D. 3 cm

3m 3s - 9.
Pupils in a school prepared a circular flower garden of diameter 28 metres. They dug holes each 4 metres apart along the circumference for planting
flowers. How many holes were dug? ( Take #pi=22/7#)
A. 154
B. 88
C. 11
D. 22

2m 46s - 10.
The floor of a square room is covered completely by four equal square carpets. The area of each carpet is #3 22/49 m^2# What is the length of one
side of the room in metres?
A. #6 44/9#
B. #7 3/7#
C. #3 5/7#
D. #1 6/7#

3m 43s - 11.
The area of a square plot of land is 1156 #m^2#. The plot is to be fenced with three strands of wire. What is the length of the wire that is needed?
A. 867 m
B. 408 m
C. 136 m
D. 102 m

2m 48s - 12.
The area of trapezium JKLM drawn below is 544 #cm^2#. Line JK is parallel to line LM and JM is the perpendicular distance. What is the length of line
KL?
A. 12 cm
B. 16 cm
C. 20 cm
D. 28 cm

5m 44s - 13.
In the quadrilateral EFGH drawn below, line EF is parallel to GH. The dotted line JG is the perpendicular height. The area of the quadrilateral is 3600# m^2#.
What is the length of line EF?
A. 72 m
B. 75 m
C. 90 m
D. 120 m

1m 57s - 14.
The area of a square plot of land is 3.24 hectares. The owner of the plot wanted to fence all round placing posts at intervals of 5 metres. How many posts were required?
A. 720
B. 180
C. 145
D. 144

3m 22s - 15.
The perimeter of a square garden is 44 metres. What is the area of the garden in square metres?
A. 484
B. 121
C. 22
D. 11

2m 8s