Question

4The difference between length and breadth of a rectangle is 8 cm and its perimeter is 64 cm. Find its length and breadth.​

Answer 1

Answer:

divide

Step-by-step explanation:

8 divide by 64 u will get the answer

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Answer 2

GIVEN THAT

• Difference between the length and the breadth of a rectangle is 8 cm

• Perimeter of the rectangle is 64 cm

TO FIND

• Length and breadth of the rectangle

FORMULA USED

• Perimeter of rectangle = 2(L + B)

SOLUTION

• 2(L + B) = 64
• L + B = 64 ÷ 2

• L + B = 32

THEN,

• L - B = 8 .... (i)
• L + B = 32 .... (ii)

• We will solve given equations by elimination method;

• Adding (i) and (ii), we get

• 2L = 40
• L = 40 ÷ 2
• L = 20

• So, length of the rectangle is 20 cm

According to question,

• L - B = 8
• 20 - B = 8

• B = 20 - 8
• B = 12

LENGTH = 20 , BREADTH = 12

PROVE

• Perimeter of rectangle = 64 cm

• 2(20 + 12) = 64
• 2 × 32 = 64

• 64 = 64

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