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7th Mathematics Monthly Test - 2(Measurements)

St. Britto Hr. Sec. School - Madurai

7th Mathematics Monthly Test - 2(Measurements)-Aug 2020

Time : 2.00 Hours

Part - A

Generic 2 - Answer All Question

A ground is in the form of isosceles trapezium with parallel sides measuring 42 m and 36 m long. The distance between the parallel sides is 30 m. Find the cost of levelling it at the rate of Rs.135 per sq.m.

The height of the parallelogram is one fourth of its base. If the area of the parallelogram is 676 sq. cm, find the height and the base

The area of the parallelogram ABCD is 1470 sq cm.
If AB = 49 cm and AD = 35 cm then, find the heights DF and BE

Find the area of a trapezium whose parallel sides are 24 cm and 20 cm and the distance between them is 15 cm.

A man has to build a rhombus shaped swimming pool. One of the diagonal is 13 m
and the other is twice the fi rst one. Then fi nd the area of the swimming pool and also fi nd the cost of cementing the fl oor at the rate of Rs. 15 per sq.cm.

A window is in the form of trapezium whose parallel sides are 105 cm and 50 cm respectively and the distance between the parallel sides is 60 cm. Find the cost of the glass used to cover the window at the rate of ` 15 per 100 sq. cm.

Suresh won a parallelogram-shaped trophy in a state level Chess tournament. He knows that the area of the trophy is 735 sq. cm and its base is 21 cm. What is the height of that trophy?

A square and a parallelogram have the same area. If the side of the square is
48 m and the height of the parallelogram is 18 m, find the length of the base of the parallelogram

Find the area of a rhombus whose base is 14 cm and height is 9 cm.

An agricultural field is in the form of a parallelogram, whose area is 68.75 sq. hm. The distance between the parallel sides is 6.25 hm. Find the length of the base

Find the area and perimeter of the following parallelograms:

A ground is in the shape of parallelogram. The height of the parallelogram is 14 metres and the corresponding base is 8 metres longer than its height. Find the cost of levelling the ground at the rate of ` 15 per sq. m.

Find the missing value.

S.No Diagonal(d₁) Diagonal(d₂) Area

(i) 19 cm 16cm

(ii) 26 m 468 sq.m

(iii) 12 m 180 sq.mm

A sweet is in the shape of rhombus whose diagonals are given as 4 cm and 5 cm. The surface of the sweet should be covered by an aluminum foil. Find the cost of aluminum foil used for 400 such sweets at the rate of ` 7 per 100 sq. cm

The area of a trapezium is 180 sq. cm and its height is 9 cm. If one of the parallel sides is longer than the other by 6 cm, find the length of the parallel sides.

One of the diagonals of a rhombus is thrice as the other. If the sum of the length of the diagonals is 24 cm, then find the area of the rhombus

Arivu has a land ABCD with the measurements given in the fi gure. If a portion ABED is used for cultivation (where E is the mid-point of DC), fi nd the cultivated area.

Janaki has a piece of fabric in the shape of a parallelogram. Its height is 12 m and its base is 18 m. She cuts the fabric into four equal parallelograms by cutting the parallel sides through its mid-points. Find the area of each new parallelogram

The area of a trapezium is 1080 sq. cm. If the lengths of its parallel sides are
55.6 cm and 34.4 cm, find the distance between them.

If the base and height of a parallelogram are in the ratio 7:3 and the height is 45 cm then, find the area of the parallelogram

Part - B

Generic 3 - Answer All Question

The area of a trapezium is 828 sq. cm. If the lengths of its parallel sides are 19.6 cm and 16.4 cm, find the distance between them.

A parallelogram has adjacent sides 12 cm and 9 cm. If the distance between its shorter sides is 8 cm, find the distance between its longer side

Find the area of the trapezium whose height is 14 cm and the parallel sides are 18 cm and 9 cm of length

Find the area and perimeter of the parallelogram given in the figures
.

One of the sides and the corresponding height of the parallelogram are 12 m and 8 m respectively. Find the area of the parallelogram.

The base of the parallelogram is thrice its height. If the area is 192 sq. cm, find the base and height

Find the height 'h' of the parallelogram whose area and base are 368 sq. cm and
23 cm respectively

The parallel sides of a trapezium are 23 cm and 12 cm. The distance between the parallel sides is 9 cm. Find the area of the trapezium

The area of a trapezium is 352 sq. cm and the distance between its parallel sides is
16 cm. If one of the parallel sides is of length 25 cm then find the length of the other side.

The collar of a shirt is in the form of isosceles trapezium whose parallel sides are 17 cm and 14 cm and the distance between them is 4 cm. Find the area of canvas that will be used to stitch the collar.

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