Question

The perimeter of a rectangle is 70 cm. if its length exceeds its breadth by 5 cm, find the dimensions of the rectangle with working and steps

Answer 1

QUESTION :)The perimeter of a rectangle is 70 cm. if its length exceeds its breadth by 5 cm, find the dimensions of the rectangle with working and steps




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Answer 2

Answer:

15cm, 20cm,300cm²

Step-by-step explanation:

Let the Breadth of the rectangle = 'x' cm.

Then, Length of the rectangle = (x + 5) cm.

∴ Perimeter of rectangle = 2(Length + Breadth)

⇒ 70 = 2(x + x + 5)

⇒ 70 = 2(2x + 5)

⇒ 70 = 4x + 10

⇒ x = 15.

Then:

⇒ x + 5

⇒ 15 + 5

⇒ 20.

Therefore:

⇒ Length of the rectangle = 15 cm.

⇒ Breadth of the rectangle = 20 cm.

⇒ Area of rectangle = 20 * 15 = 300 cm²

Hope it helps!