Advertisements
Advertisements
Question
The perimeter of a trapezium is 52 cm and its each non-parallel side is equal to 10 cm with its height 8 cm. Its area is ______.
Options
124 cm2
118 cm2
128 cm2
112 cm2
Advertisements
Solution
The perimeter of a trapezium is 52 cm and its each non-parallel side is equal to 10 cm with its height 8 cm. Its area is 128 cm2.
Explanation:
Given, perimeter of a trapezium is 52 cm and each other non-parallel side is of 10 cm.
Then, sum of its parallel sides = 52 – (10 + 10)
= 52 – 20
= 32 cm
∴ Area of the trapezium = `1/2(a + b) xx h`
= `1/2 xx 32 xx 8` ...[∵ h = 8 cm and a + b = 32 cm]
= 128 cm2
APPEARS IN
RELATED QUESTIONS
The shape of the top surface of a table is a trapezium. Find its area if its parallel sides are 1 m and 1.2 m and perpendicular distance between them is 0.8 m.
The area of a trapezium is 34 cm2 and the length of one of the parallel sides is 10 cm and its height is 4 cm. Find the length of the other parallel side.
Find the area, in square metres, of the trapezium whose bases and altitude is as under:
bases = 28 cm and 3 dm, altitude = 25 cm
The cross-section of a canal is a trapezium in shape. If the canal is 10 m wide at the top 6 m wide at the bottom and the area of cross-section is 72 m2 determine its depth.
The area of a trapezium is 91 cm2 and its height is 7 cm. If one of the parallel sides is longer than the other by 8 cm, find the two parallel sides.
Find the area of the field shown in Fig. 20.39 by dividing it into a square, a rectangle and a trapezium.
There is a pentagonal shaped park as shown in Fig. 20.50. Jyoti and Kavita divided it in two different ways.
Find the area of this park using both ways. Can you suggest some another way of finding its areas?
The area of the trapezium, if the parallel sides are measuring 8 cm and 10 cm and the height 5 cm is
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 ₹ 135 per sq.m
Arivu has a land ABCD with the measurements given in the figure. If a portion ABED is used for cultivation (where E is the mid-point of DC), find the cultivated area.
