The length of a rectangle is 6 m more than breath. if the perimeter is

1.	The length of a rectangle is 6 m more than breath. if the perimeter is 120m find the dimensions
Answer» ong>GIVEN :- Length of a rectangle is 6 m more than the breadth. Perimeter of rectangle = 120 m. TO FIND :- The DIMENSIONS of the rectangle. SOLUTION :- Let the breath of the rectangle be "x". So the length of the rectangle be "(x + 6)m". As we know that the perimeter of a rectangle is GIVEN by, ➠ Perimeter = 2(Length + Breadth) ➠ 120 m = 2(x + 6 + x) ➠ 120 = 2(2x + 6) ➠ 120 = 4x + 12 ➠ 4x = 120 - 12 ➠ 4x = 108 ➠ x = 108/4 ➠ x = 27 Now, The dimensions of the rectangle are :- ➸ Length = (x + 6)m ➸ Length = 27 + 6 m ➸ Length = 33 m. Similarly, ➸ Breadth = x m ➸ Breadth = 27 m. Hence the dimensions of the rectangle are 33 × 27 m. $\text{[math]}$

The length of a rectangle is 6 m more than breath. if the perimeter is 120m find the dimensions

Answer»

ong>GIVEN :-

TO FIND :-

SOLUTION :-

Let the breath of the rectangle be "x". So the length of the rectangle be "(x + 6)m".

As we know that the perimeter of a rectangle is GIVEN by,

➠ Perimeter = 2(Length + Breadth)

➠ 120 m = 2(x + 6 + x)

➠ 120 = 2(2x + 6)

➠ 120 = 4x + 12

➠ 4x = 120 - 12

➠ 4x = 108

➠ x = 108/4

➠ x = 27

Now, The dimensions of the rectangle are :-

➸ Length = (x + 6)m

➸ Length = 27 + 6 m

➸ Length = 33 m.

Similarly,

➸ Breadth = x m

➸ Breadth = 27 m.

Hence the dimensions of the rectangle are 33 × 27 m.

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