Question

Q.17 - The base of a parallelogram is (X + 2), altitude to the base is (X-
6) and the area is (x² - 4), find out its actual area.​

Answer 1

Step-by-step explanation:

Length of parallel sides of a parallelogram are equal.

So, the sum of length of parallel sides= 2(x+2)

Altitude to the base= (x - 6)

Area of parallelogram= 1/2*(sum of parallel sides) × (altitude between parallel sides)

Area of parallelogram= 1/2 × 2(x+2)× (x-6)

x^2 - 2 = x^2 - 6x + 2x-12

x^2 cancel out each other

-2 = x-12

x= 12- 2

x = 10

Hence , area of parallelogram= x^2 - = 10^2 - 4 = 96 cm^2