Advertisements
Advertisements
Question
In the following figure, EFGH is a parallelogram, altitudes FK and FI are 8 cm and 4 cm respectively. If EF = 10 cm, then area of EFGH is ______.
Options
20 cm2
32 cm2
40 cm2
80 cm2
Advertisements
Solution
In the following figure, EFGH is a parallelogram, altitudes FK and FI are 8 cm and 4 cm respectively. If EF = 10 cm, then area of EFGH is `bb(underline(40 cm^2))`.
Explanation:
From the figure,
Consider the parallelogram EFGH,
EF = HG = 10 cm ...[From the question]
We know that,
Area of parallelogram EFGH = Base × Corresponding height
= 10 × 4
= 40 cm2
APPEARS IN
RELATED QUESTIONS
Find the area of the following parallelogram:
PQRS is a parallelogram (see the given figure). QM is the height from Q to SR and QN is the height from Q to PS. If SR = 12 cm and QM = 7.6 cm. Find:
- the area of the parallelogram PQRS
- QN, if PS = 8 cm
If area of a parallelogram is 29.6 sq cm and its base is 8 cm, find its height.
A parallelogram has sides of 15 cm and 12 cm; if the distance between the 15 cm sides is 6 cm; find the distance between 12 cm sides.
Find the height ‘x’ if the area of the parallelogram is 24 cm2 and the base is 4 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 cm. Find the length of the base
If the base and height of a parallelogram are in the ratio 7 : 3 and the height is 45 cm, then fixed the area of the parallelogram
In the following figure, area of parallelogram BCEF is ________ cm2 where ACDF is a rectangle.
In the following figure, area of ∆AFB is equal to the area of parallelogram ABCD. If altitude EF is 16 cm long, find the altitude of the parallelogram to the base AB of length 10 cm. What is the area of ∆DAO, where O is the midpoint of DC?
In the following figure, find the area of parallelogram ABCD if the area of shaded triangle is 9 cm2.
