Question

The length of a rectangular plot exceeds its breadth by 5 m. If the perimeter of the plot is 142 m.
find the dimensions of the plot.
2 marks​

Answer 1

Let the length of a rectangular plot = x

And breadth of a rectangular plot = y

According to the condition,

x = y + 5 …(i)

And 2(x + y) = 142

⇒ x + y = 142/2 = 71

⇒ x + y = 71

Now, substitute the value of eq. (i) in eq.(ii)

Y + 5 + y = 71

⇒ 2y = 71 – 5

⇒ y = 66/2 = 33

Now, put the value of y in eq. (i)

x = 33 + 5 = 38

∴ the length of rectangular plot is 38 m and breadth is 33 m

Answer 2

Step-by-step explanation:

let the length be x + 5, then

breadth is x,

perimeter = 2(b + l) , then

2(x+x+5) =142

2×(2x+5)=142

4x+10=142

4x=142-10

x=132/4

x=33

length=x+5=33+5=38m

breadth=33m