rakeshtrighar
rakeshtrighar rakeshtrighar
  • 21-11-2020
  • Mathematics
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In a rectangle diagonal is 5cm ,breadth is 3cm .find the area and perimeter  of the rectangle? (STEP BY STEP EXPLANATION)​

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CHERLYNnotCHERRY
CHERLYNnotCHERRY CHERLYNnotCHERRY
  • 21-11-2020

Answer:

The area of rectangle is 12cm² and the perimeter is 14cm.

Step-by-step explanation:

First, you have to find the length of the rectangle using Pythagoras Theorem :

a² + b² = c²

a² + 3² = 5²

a² = 5² - 3²

a² = 16

a = √16

a = 4 cm

Next, you have to find the perimeter and area of rectangle :

Perimeter = 2(length + breadth)

P = 2(4 + 3)

P = 2(7)

P = 14 cm

Area = length×breadth

A = 4×3

A = 12 cm²

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