Question

in the parallelogram the altitude is twice the length of the base. it's area is 450cm.find the length of the base and the altitude

Answer 1

Answer: 15 cm and 30 cm

Step-by-step explanation:

Let the base be b.

Therefore, altitude=2b [given that altitude is twice the length of the base.

We know,

Area of parallelogram=Base×Altitude

=>450 cm^2=b×2b

=>450 cm^2=2b^2

=>b^2=(450 cm^2)÷2

=>b^2=225 cm^2

=>b^2=(15 cm)^2

=>b=15 cm

Therefore, length of the base is b=15 cm and length of the altitude is 2b=2×15 cm=30 cm

Answer 2

We have,

Altitude=2×Base

We know,

Area of parallelogram=Base×Height

=>450=Base×2×Base

=>2×15×15=2×Base×Base

=>Base^2=15^2 [cancelling 2 on both sides]

=>Base=15 cm [cancelling square on both sides]

And altitude=2×Base=2×15 cm=30 cm