Question

Perimeter of a rectangle is 36 cm and breadth is 8•4cm . Find the length and area of the rectangle

Answer 1

SOLUTION:-

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➝ Here, the question has given us the perimeter of a rectangle that is 36 cm and breadth that is 8.4 cm respectively. Now, the question has asked us to find the area and the breadth of the given rectangle. We simply have to apply the formula of perimeter of rectangle to find the breadth and for area we need to apply the formula of area of rectangle and we will get our answer.

ANSWER:-

☆ Breadth of the rectangle = 19.2 cm

☆ Area of the rectangle = 161.28 cm²

GIVEN:-

↣ Length of the rectangle = 8.4 cm

↣ Perimeter of the rectangle = 36 cm

FIND:-

➱ Breadth of the rectangle = ?

➱ Area of the rectangle = ?

FORMULAE:-

➮ Perimeter of rectangle = 2(L + B) [To find the breadth]

➮ Area of rectangle = L × B

Where,

• L = Length
• B = Breadth
• A = Area
• P = Preimeter

SOLVING BY APPLYING THE FORMULA:-

• FINDING THE BREADTH:-

☞ Perimeter = 2(L + B) [Finding Breadth]

☞ 36 = 2(8.4 + B)

☞ 36 = 2 × 8.4 + B

☞ 36 = 16.8 + B

☞ Taking 16.8 to LHS.

☞ 36 - 16.8 = B

☞ 19.2 = B

☞ B = 19.2 cm

Hence, we got the breadth of the rectangle. Breadth of the rectangle is 19.2 cm.

• FINDING THE PERIMETER:-

☞ Area = L × B

☞ Area = 8.4 cm × 19.2 cm

☞ Area = 8.4 cm × 19.2 cm = 161.28 cm²

☞ Area = 161.28 cm²

Hence, we got the area of the rectangle. Area of the rectangle is 161.28 cm².

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