Question

the area of a parallelogram is 72 CM square and its altitude is twice the corresponding base the length of the base is
a) 6cm
b) 8cm
c) 4cm
d) 12cm
give reason

Answer 1

Define x:

Let the length be x.

The height is 2x.

Find the length:

Area of parallelogram = base x height

72 = (x)(2x)

72 = 2x²

x² = 36

x = √36

x = 6

Answer: The length of the base is 6cm (option A)

Answer 2

Given

Area of parallelogram = 72 cm^2

According to the given question

let the base is x

height is 2x

Area of parallelogram = base x height

putting the values

72 = (x) (2x)

72 = 2x^2

x^2 = 72 ÷ 2

x^2 = 36

X = √36 = 6

X = 6 cm.

Hence - Option "A" is the Answer .

$\bold{Answer: Base \: is \: 6 \: cm}$