Advertisements
Advertisements
Question
Find the area of the parallelogram ABCD if AC is 24 cm and BE = DF = 8 cm
Advertisements
Solution
Area of the parallelogram ABCD Area of the triangle = Area of the triangle ABC + Area of the triangle ADC
Area of the triangle = `1/2` × (base × height) sq.units
Area of ΔABC = `1/2` × 24 × 8 cm2
= 96 cm2
Area of ΔADC = `1/2` × 24 × 8 cm2
= 96 cm2
Area of the parallelogram ABCD = 96 + 96 = 192 cm2
APPEARS IN
RELATED QUESTIONS
Find the missing value:
| Base | Height | Area of parallelogram |
| 20 cm | ______ | 246 cm2 |
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 base of a parallelogram is 18 cm and its height is 11 cm, find its area.
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.
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
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
Find the height of the parallelogram whose base is four times the height and whose area is 576 sq.cm
Observe the shapes 1, 2, 3 and 4 in the figures. Which of the following statements is not correct?

Perimeter of a parallelogram shaped land is 96 m and its area is 270 square metres. If one of the sides of this parallelogram is 18 m, find the length of the other side. Also, find the lengths of altitudes l and m (see figure).

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.
