Each diagonal of a square is 14 cm- Its area isa 196 cm 2b 88 cm 2c 98 cm 2d 148 cm 2

Let a be the side of the square. Then Diagonal of the square =a2=14 #8658;a=142 #160;cm Now Area of the square = a2=1422=98 #160;cm2 Hence,the correct opt ...

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Standard VI

Mathematics

Area of Square

Each diagonal...

Question

Each diagonal of a square is 14 cm. Its area is

(a) 196 cm² (b) 88 cm² (c) 98 cm² (d) 148 cm²

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Solution

Let a be the side of the square. Then
Diagonal of the square = $a \sqrt{2} = 14 \Rightarrow a = \frac{14}{\sqrt{2}} cm$
Now
Area of the square = $a^{2} = {(\frac{14}{\sqrt{2}})}^{2} = 98 {cm}^{2}$
Hence,the correct option is (c).

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Each diagonal of a square is 14 cm. Its area is (a) 196 cm2 (b) 88 cm2 (c) 98 cm2 (d) 148 cm2

Let a be the side of the square. Then Diagonal of the square =a2=14⇒a=142 cm Now Area of the square = a2=1422=98 cm2 Hence,the correct option is (c).

Each diagonal of a square is 14 cm. Its area is

(a) 196 cm² (b) 88 cm² (c) 98 cm² (d) 148 cm²

Let a be the side of the square. Then
Diagonal of the square = $a \sqrt{2} = 14 \Rightarrow a = \frac{14}{\sqrt{2}} cm$
Now
Area of the square = $a^{2} = {(\frac{14}{\sqrt{2}})}^{2} = 98 {cm}^{2}$
Hence,the correct option is (c).