Question

The length of a rectangle is 5cm more than its breadth. If the perimeter is 50cm than what is the area​

Answer 1

$let \: \: \: lenght \: \: \: be \: \: x \\ \\ nd \\ \\ breadth \: \: \: be \: \: y \\ \\ hence \\ \\ x = y + 5 \\ \\ p = 2(x + y) \\ \\ 50 = 2(y + 5 + y) \\ \\ \frac{50}{2} = 2y + 5 \\ \\ 25 = 2y + 5 \\ \\ 25 - 5 = 2y \\ \\ 20 = 2y \\ \\ \frac{20}{2} = y \\ \\ 10 = y \\ \\ hence \\ \\ breath = 10cm \\ \\ length = 10 + 5 = 15cm$

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Answer 2

$\underline{\bigstar{\sf\ Given:-}}$

• Perimeter of rectangle = 50 cm
• Length of rectangle is 5 cm more than breadth.

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$\underline{\bigstar{\sf\ To\:Find:-}}$

• Area of rectangle

$\underline{\bigstar{\sf\ Solution:-}}$

Let the breadth of rectangle be x.

Length of rectangle = x + 5

Perimeter of rectangle = 50 cm

2 (L + B) = 50

2 (x + x + 5) = 50

2 (2x + 5) = 50

4x + 10 = 50

4x = 50 - 10

4x = 40

x = $\frac {40}{4}$

x = 10

Length of rectangle = 10 + 5 = 15 cm

Breadth of rectangle = 10 cm

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Therefore,

Area of rectangle = L × B = 10 × 15

= 150 cm²

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