Question

The length of a diagonal of a rectangle is 13. If one of the side of the rectangle is 5, the perimeter of the rectangle is .....,select a proper option (a), (b), (c) or (d) from given options so that the statement becomes correct.
(a) 36
(b) 34
(c) 48
(d) 52

Answer 1

STEP 1: Find the breadth of the rectangle

Using Pythagoras' Theorem, a² + b² = c², to find the missing leg.

a² + b² = c²

5² + b² = 13²

b² = 13² - 5²

b² = 144

b = √144

b = 12

The breadth is 12 units.

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STEP 2: Find the perimeter:

Perimeter = 2 (Length + Breadth)

Perimeter = 2 (5 + 12) = 2 (17) = 34 units

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Answer: (B) 34 units

Answer 2

By using phythagoreus theorem,

x²+5²=13²

x²+25=169

x²=169-25

x²=144

x=√144=12

hence length=12 units nd width=5 units

so perimeter=2(l+w)

⇒2(12+5)

⇒2×17

⇒34 units

Coreect answer is option b)34