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The area of a rectangle is 60 cm² and its perimeter is 34 cm, then the length of the diagonal is
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- 17 cm
- 11 cm
- 15 cm
- 13 cm
- 17 cm
Correct Option: D
Let the length of rectangle be a cm and its breadth be b cm.
According to the question,
Area of rectangle = ab = 60 ... (i)
and, perimeter of rectangle = 2 (a + b)
⇒ 2 (a + b) = 34
= a + b = 17
On squaring both sides,
a² + b² + 2ab = 172 = 289
⇒ a² + b² + 2 × 60 = 289
[From equation (i)]
⇒ a² + b² = 289 – 120 = 169
∴ Diagonal of rectangle = √a² + b² = √169
= 13 cm.
