Question

the diagonal of rectangle is 26m and the width is 10 m.find the area of the rectangle.
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Answer 1

We are given that, diagonal of a rectangle is 26m and width of the rectangle is 10m.

We need to find the area of rectangle from the given clues.

To find the area, we need to find the length of the rectangle by Pythagoras Theorem.

⇒ (Length)² = (Diagonal)²-(Width)²

⇒ (Length)² = (26)²-(10)²

⇒ (Length)² = 676-100

⇒ (Length)² = 576

Therefore, the length of the rectangle is:

⇒ Length = √576

⇒ Length = 24m

To find the area of rectangle, we know that:

→ Area = lb

In the above formula, length(l) is 24m and breadth(b) is 10m.

⇒ Area = 24×10

⇒ Area = 240m²

Hence, the area of rectangle is 240m².