Advertisements
Advertisements
Question
In the following figure, find the area of parallelogram ABCD if the area of shaded triangle is 9 cm2.
Advertisements
Solution
Given, area of shaded triangle = 9 cm2
And base of the triangle = 3 cm
∵ Area of a triangle = `1/2` × Base × Height
⇒ `9 = 1/2 xx 3 xx h`
⇒ `18/3 = h`
⇒ h = 6 cm
∴ Area of parallelogram = Height × Base of parallelogram
= 6 × (3 + 4)
= 6 × 7
= 42 cm2
APPEARS IN
RELATED QUESTIONS
Find the area of the following parallelogram:
Find the area of the following parallelogram:
Find the area of the following parallelogram:
The two sides of the parallelogram ABCD are 6 cm and 4 cm. The height corresponding to the base CD is 3 cm.
Find the
(i) area of the parallelogram.
(ii) the height corresponding to the base AD.
What happens to the area of the parallelogram if the base is increased 2 times and the height is halved?
In a parallelogram the base is three times its height. If the height is 8 cm then the area is
The base of the parallelogram is 16 cm and the height is 7 cm less than its base. Find the area of the parallelogram
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
Observe the shapes 1, 2, 3 and 4 in the figures. Which of the following statements is not correct?
ABCD is a parallelogram in which AE is perpendicular to CD (see figure). Also AC = 5 cm, DE = 4 cm and area of ΔAED = 6 cm2. Find the perimeter and area of ABCD.
