Question

16cm
(D)
The area of the parallelogram is 144 sq cm, if its base and height are equal then the base
is
8.
(A) 14cm
(B)
12cm
(C) 72cm
(D) 16cm​

Answer 1

Answer:

16 is that right answer so 16 is the right answer

Answer 2

Given :

• Area of parallelogram = 144 cm²
• The base and height of the parallelogram are equal.

To find :

• Base of the parallelogram

Concept :

As mentioned in the question, the base and height of the parallelogram are equal. So, we will assume them as any variable. Let it be a. So, by using the formula of area of parallelogram and substituting the values, we will get the value of a. After substituting the value of a in the base, we will get our required answer.

★ Formula of area of parallelogram :-

• Area of parallelogram = b × h

where,

• b stands for the base of the parallelogram

• h stands for the height of the parallelogram

Solution :

Base of the parallelogram = Height of the parallelogram

Let the base and height of the parallelogram as a.

Using formula,

★ Area of parallelogram = b × h

Substituting the given values, we get :-

➪ 144 = a × a

➪ 144 = a²

➪ Taking square root on both the sides.

➪ √144 = a

➪ √(12 × 12) = a

➪ ± 12 = a

➪ As we know, the base and height of parallelogram cannot bring negative, so the nagative sign will get rejected.

➪ ± 12 Reject - ve = a

➪ 12 = a

The value of a = 12

➪ Base and height of the parallelogram = a = 12 cm

Therefore,

• The area of the parallelogram is 144 sq cm, if its base and height are equal then the base is (B) 12 cm

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VERIFICATION :

To verify our answer, we will find the area of the parallelogram, if it's value will be equal to 144 cm² (as mentioned in the question). Then the values are right.

➪ Area of parallelogram = b × h

➪ Area of parallelogram = 12 × 12

➪ Area of parallelogram = 144

Area of parallelogram = 144 cm²

HENCE, VERIFIED.