Advertisements
Advertisements
प्रश्न
Altitudes MN and MO of parallelogram MGHK are 8 cm and 4 cm long respectively (see figure). One side GH is 6 cm long. Find the perimeter of MGHK.
Advertisements
उत्तर
Given, MGHK is a parallelogram, where MN = 8 cm, MO = 4 cm and GH = 6 cm
∴ Area of parallelogram MGHK, when base is GH ...[∵ Area of parallelogram = Base × Height]
= GH × MN
= 6 × 8 cm2
= 48 cm2 ...(i)
Area of paralielogram MGHK, when base is HK
= HK × MO
⇒ 48 = HK × 4 ...[From equation (i)]
⇒ HK = `48/4`
⇒ HK = 12 cm
In parallelogram, opposite sides are equal.
So, GH = MK = 6 cm and MG = HK = 12 cm
∴ Perimeter of parallelogram MGHK = (6 + 6 + 12 + 12) cm = 36 cm.
APPEARS IN
संबंधित प्रश्न
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.
The adjacent sides of a parallelogram are 21 cm and 28 cm. If it's one diagonal is 35 cm; find the area of the 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.
Find the missing values.
| Base | Height | Area |
| 17 mm | 221 sq.mm |
What happens to the area of the parallelogram if the base is increased 2 times and the height is halved?
The base of the parallelogram is 16 cm and the height is 7 cm less than its base. Find the area of the parallelogram
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
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.
To find area, any side of a parallelogram can be chosen as ______ of the parallelogram.
