# If the base of a parallelogram is 8 cm and its altitude is 5 cm then its area is equal to (in cm2).

$

A.{\text{ }}10 \\

B.{\text{ }}15 \\

C.{\text{ 20}} \\

D.{\text{ 4}}0 \\

$

Answer

Verified

324.3k+ views

Hint: In this question use the concept that the area of the parallelogram is direct multiplication of its base and altitude so use this property to reach the solution of the question.

Complete step-by-step answer:

Given data

Base (b) of a parallelogram is 8 cm.

And the altitude or height (h) of a parallelogram is 5 cm.

Then we have to find out the area of the parallelogram.

As we know that the area (A) of the parallelogram is base multiplied by height.

$ \Rightarrow A = b \times h$

Now substitute the values in this equation we have,

$ \Rightarrow A = \left( {8{\text{ cm}}} \right) \times \left( {5{\text{ cm}}} \right)$

$ \Rightarrow A = \left( {8 \times 5} \right){\text{ c}}{{\text{m}}^2}$

$ \Rightarrow A = 40{\text{ c}}{{\text{m}}^2}$

So, the area of the parallelogram is 40 square centimeter.

So, this is the required answer.

Hence, option (D) is correct.

Note: Whenever we face such types of questions the key concept is the formula of area of the parallelogram which is stated above so direct multiply base and altitude of the parallelogram we get the required area of the parallelogram which is the required answer. Altitude is also known as the height of the parallelogram.

Complete step-by-step answer:

Given data

Base (b) of a parallelogram is 8 cm.

And the altitude or height (h) of a parallelogram is 5 cm.

Then we have to find out the area of the parallelogram.

As we know that the area (A) of the parallelogram is base multiplied by height.

$ \Rightarrow A = b \times h$

Now substitute the values in this equation we have,

$ \Rightarrow A = \left( {8{\text{ cm}}} \right) \times \left( {5{\text{ cm}}} \right)$

$ \Rightarrow A = \left( {8 \times 5} \right){\text{ c}}{{\text{m}}^2}$

$ \Rightarrow A = 40{\text{ c}}{{\text{m}}^2}$

So, the area of the parallelogram is 40 square centimeter.

So, this is the required answer.

Hence, option (D) is correct.

Note: Whenever we face such types of questions the key concept is the formula of area of the parallelogram which is stated above so direct multiply base and altitude of the parallelogram we get the required area of the parallelogram which is the required answer. Altitude is also known as the height of the parallelogram.

Last updated date: 27th May 2023

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