Question

Each diagonal of a square is 14 cm. Its area is
(a) 196 cm2
(b) 88 cm2
(c) 98 cm2
(d) 148 cm2
[ans. (c)98 cm2]
I want solution​

Answer 1

Answer:

196 cm^2

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Answer 2

Given that :

• Diagonal of square is 14cm

To Find :

• What is the area of square ?

Let us assume :

Side of square = S

Calculation begin :

Using Pythagoras Property

→ 14² = S² + S²

→ 196 = 2S²

→ S² = 196/2

→ S² = 98

→ S = √(98)

→ S = √(2×7×7)

→ S = 7√2

Therefore , side = 7√2 cm

We know that ,

=> Area of square = (Side)²

=> Area of square = (7√2)²

=> Area of square = (49 × 2)cm²

=> Area of square = 98 cm²

Option (c) 98cm² is correct answer