Question

the length of a rectangle is 30cm and one if it's diagonal measures 34cm. find the breadth, perimeter and area of the rectangle.

Answer 1

Hi friend
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Your answer
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Length of a rectangle = 30 cm

Measure of one of its diagonals = 34 cm

So,

We can get the breadth by PYTHAGORAS THEOREM.

(Breadth)² = (Diagonal)² - (Length)²

(Breadth)² = (34)² - (30)²

(Breadth)² = 1156 - 900

(Breadth)² = 256

Breadth = √256

Breadth = 16 cm

So,

Perimeter of the rectangle = 2(Length + Breadth).
= [ 2(30 + 16) ] cm
= [2× 46] cm
= 92 cm

Area of the rectangle = Length × Breadth
= (30×16) cm²
= 480 cm²

HOPE IT HELPS

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