Question

the perimeter of a rectangle is 98 cm and its breadth is 9 cm find its area​

Answer 1

Solution:-

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$\implies$ Here it is given in the question that the breadth and the perimeter of a rectangular park are 98 cm and 9 cm respectively. Now the question has asked us to find out the area of the rectangle.

⛤ HOW TO DO:-

$\mapsto$In order to find the area, first of all we need to find out the length by using the perimeter formula by assuming the length as L. The result which we will get after solving by applying the formula will be the length. Then we can find the area by applying the formula of area of rectangle.

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ANSWER:-

☯ The area of the rectangle is 360 cm².

GIVEN:-

⟿ Breadth = 9 cm

⟿ Perimeter = 98 cm

TO FIND:-

» Here we have to find the area of the rectangle.

SOLUTION:-

• First we will find the length.
• We will use the formula of perimeter to find the length.
• Then by applying the formula of area we will get the area.

We know that:-

❖ Perimeter of rectangle = 2(L + B) [For finding the length]

❖ Area of rectangle = L × B

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• Finding the length:-

➤ 98 cm = 2(L + 9 cm)

➤ 98 cm = 2 × (L + 9 cm)

➤ Transposing 2 to L.H.S.

➤ 98 / 2 cm = L + 9 cm

➤ 49 cm = L + 9 cm

➤ Transposing 9 cm to L.H.S

➤ 49 cm - 9 cm = L

➤ 40 cm = L

➤ L = 40 cm

• Finding the area:-

➤ Area = L × B

➤ Area = 40 cm × 9 cm

➤ Area = 40 cm × 9 cm = 360 cm²

➤ Area = 360 cm²

Thus, we got the answer. The area of the rectangle is 360 cm².

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Answer 2

Given:

• Perimeter of Rectangle = 98cm
• Breadth of Rectangle = 9cm

To Find:

• Area of Rectangle

Solution:

Perimeter of Rectangle = 2 (L + B)

➠ 98cm = 2 (L + 9)

➠ 98/2 = L + 9

➠ 49cm = L + 9

➠ L = 49 - 9

➠ L = 40cm

Area of Rectangle = L × B

➠ Area of Rectangle = 40 × 9

➠ Area of Rectangle = 360cm²

∴ Area of rectangle is 360cm²