The base of a parallelogram is (x + 4) cm, the altitude to the base is

1.	The base of a parallelogram is (x + 4) cm, the altitude to the base is (x - 3) cm and the area is(x2- 4) cm Then what is the actual area of the parallelogram?(d) 42 cm
Answer» Length of parallel sides of a parallelogram are equal. So, the sum of length of parallel sides= 2(x+4) Altitude to the base= (x-3) Area of parallelogram= 1/2(sum of parallel sides)(altitude between parallel sides) Area of parallelogram= 1/22(x+4)(x-3) x^2-4= x^2-3x+4x-12 x^2 cancel out each other -4= x-12 x= 12-4 x=8 So, area of parallelogram= x^2-4= 8^2-4= 60 Like my answer if you find it useful!

The base of a parallelogram is (x + 4) cm, the altitude to the base is (x - 3) cm and the area is(x2- 4) cm Then what is the actual area of the parallelogram?(d) 42 cm

Answer»

Length of parallel sides of a parallelogram are equal.

So, the sum of length of parallel sides= 2(x+4)

Altitude to the base= (x-3)

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

Area of parallelogram= 1/2*2(x+4)*(x-3)

x^2-4= x^2-3x+4x-12

x^2 cancel out each other

-4= x-12

x= 12-4

x=8

So, area of parallelogram= x^2-4= 8^2-4= 60

Like my answer if you find it useful!