Question

the ratio of base to height of a parallelogram is 1 ratio 2 if the area of the parallelogram is 40 m cube then find the find its base and height

Answer 1

Answer:

Step-by-step explanation:

Hey mate ..

Here is your correct answer.....

Area of parallelogram = 40 m^3

Base and height are in ratio 1:2

Let base = 1x and height = 2x

Area of parallelogram = base × height

40 = 1x × 2x

40 = 2x^2.

X^2 = 40 /2

X^2 = 20 m

X = 2 root 5.

So, the base of parallelogram = 1x

= 1 × 2 root 5 = 2 root 5 m.

And...

The height of parallelogram = 2x

= 2 × 2 root 5 = 4 root 5 m...

Verification....

_____________________________

Area of parallelogram = base × height

= 2 root 5 × 4 root 5

= 40m^3....

Hence verified...

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