Question

the ratio of the base to that of altitude of a parallelogram is 1 ratio 3 if the area of the parallelogram is 48 CM square the base and the altitude respectively

Answer 1

Area of parrallelogram=b×h
b=1x
h=3x
area=48
1x×3x=48
4x=48cm
x=48÷4
=22
there fore base= 1×25
=22
height=3×22
=66

Answer 2

Given - Ratio of base to altitude

Find - Base and altitude

Solution - Let the base and altitude of parallelogram be x.

Length of base and altitude will be 1x and 3x.

Area of parallelogram = base * height

Area of parallelogram = 1x*3x

48 = 3x²

${x}^{2} = \frac{48}{3}$

${x}^{2} = 16$

$x = \sqrt[2]{16}$

$x = 4$

So, base of parallelogram = 1x

Base of parallelogram = 1*4

Base of parallelogram = 4 centimetres

Altitude of parallelogram = 3x

Altitude of parallelogram = 3*4

Altitude of parallelogram = 12 centimetres

So, the base and altitude of parallelogram are 4 and 12 centimetres respectively.