Question

The length of a rectangle is 27m longer than its breadth. If the perimeter of the rectangle is 110m , then find its area.​

Answer 1

Answer:

it is correct

Step-by-step explanation:

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Answer 2

Given:

• Length of Rectangle is 27 m longer than its breadth.
• Perimeter of Rectangle is 110 m.

To find:

• Area of rectangle?

Solution:

Length of Rectangle is 27 m longer than its breadth.

⠀⠀⠀⌬ Let Breadth of rectangle be x cm.

⠀⠀⠀⌬ Then, Length of rectangle is (x + 27) m

We know that,

Perimeter of rectangle = 2(l + b)

Now Putting value in formula,

⇏ 2((x + 27) + x) = 110

⇏ 2(2x + 27) = 110

⇏ 2x + 27 = 110/2

⇏ 2x + 27 = 55

⇏ 2x = 55 - 27

⇏ 2x = 28

⇏ x = 28/2

⇏ x = 14

Therefore,

• Breadth of rectangle = x = 14 m
• Length of rectangle = (x + 27) = 14 + 27 = 41 m

⠀━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━

Now, Finding area of rectangle,

Area = length × breadth

⇏ 14 × 41

⇏ 574 m²

∴ Hence, Area of rectangle is 574 m².