# A rectangle has perimeter of 50 metres. If its mength is 13 metres more than its breadth

A rectangle has perimeter of 50 metres. If its mength is 13 metres more than its breadth, then its are is

(a) 124 m^{2}

(b) 144 m^{2‑
}(c) 114 m^{2}

(d) 104 m^{2}

**Answer: (c) 114 m ^{2}**

**Solution:-**

Let the breadth of a rectangle be X m

Then, length of the rectangle = (X + 13) m

The perimeter of a rectangle is 50 meters

Then, 2 ( X + X + 13) = 50

2 X + 2 X + 26 = 50

4 X = 50 – 26

X = 24/4

X = 6

Then, breadth of the rectangle X= 6 m & length of the rectangle = 6 + 13 = 19 m

Area of the rectangle = 19 x 6

= 114 m^2.

Hence, the correct answer is option (c) 114 m^{2}