Question

The base Of A Parallelogram Is Twice It's Height If it's Area Is 512Cmsq,Find The Base And Height​

Answer 1

Answer:

Let the height of the parallelogram be x cm. Then the base of the parallelogram is 2x cm. [from given data] Given that the area of the parallelogram = 512 cm2

We know that area of a parallelogram = Base x Height 512 = (2x) (x) 512 = 2x2 x2

512/2 = 256 cm2 x2 = (16)2 x = 16 cm Hence height of parallelogram = x = 16 cm And base of the parallelogram = 2x = 2 x 16 = 32 cm

the-base-of-a-parallelogram-is-twice-its-height-if-the-area-of-the-parallelogram-is-512-cm-2

Answer 2

area of a parallelogram is bh

it is given that

area = 512 cm²

and 2h = b

thus

b×h = 512

(putting b= 2h)

2h×h =512

2h² = 512

h² = 256

h= 16

base = 2h = 32

height = 16

base = 32