Question

The area of a parallelogram is 512m^2. If altitude is twice the corresponding base, determine the base and altitude.​

Answer 1

Answer:

Area of parallelogram = bh

Let the base be x, then altitude = 2x

512 = 2x(x)

512 = 2x²

x² = 512/2

x² = 256

x = √256

x = +16 or - 16

It cannot be - 16 because length is always positive

So we take x = 16

Base = x = 16 m

Height = 2x = 2×16 = 32 m

#WMK

Answer 2

Step-by-step explanation:

solution:

so, we have ,

Area of parallelogram = 512m2

Let the base be x .

height = 2x

Area of parallelogram = base × height

So, Area = 2x (x)

512m2 = 2x2

512÷2 = x2

root 256 = x

So,

Base = 16 and Height = 2x = 2×16= 32 m