If the diagonal of a rectangle is 10 cm and length is 8 cm ,then its perimeter is?
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Answer: 28cm
Step-by-step explanation: it is attached below
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✬ Perimeter = 28 cm ✬
Step-by-step explanation:
Given:
- Length of diagonal of rectangle is 10 cm.
- Length of side of rectangle is 8 cm.
To Find:
- What will be the perimeter of the Rectangle?
Solution: Let ABCD be a rectangle with AC as a diagonal of length of 10 cm and AB is side of 8 cm.
★ Since, Each angle of a rectangle is a right , we have ∠ABC = 90° ★
• From right ∆ABC , by applying Pythagoras Theorem we have,
AB² + BC² = AC²
8² + BC² = 10²
64 + BC² = 100
BC² = 100 – 64
BC² = 36 cm²
BC = √36
BC = 6 cm.
Hence, The Breadth of the rectangle is 6 cm.
• Now, We have to find the perimeter of Rectangle ABCD •
★ Perimeter = 2 ( Length + Breadth ) ★
Perimeter = 2 ( 8 + 6 )
Perimeter = 2(14)
Perimeter = 28 cm
Hence, Perimeter of Rectangle is 28 cm.
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