Question

perimeter of a rectangle plot is 860m.its length is 4 more than its breadth.find its length and breadth.​

Answer 1

✬ Length = 217 m ✬

✬ Breadth = 213 m ✬

Step-by-step explanation:

Given:

• Perimeter of rectangular plot is 860 m.
• Length of plot is 4 more than breadth.

To Find:

• What is the length and breadth of plot ?

Solution: Let the breadth of plot be x m. Therefore,

➟ Length of plot = 4 more than x

➟ Length = (x + 4) m

As we know that

★ Perimeter of Rectangle = 2(Length + Breadth) ★

A/q

• Perimeter is 860 m.

$\implies{\rm }$ 860 = 2(Length + Breadth)

$\implies{\rm }$ 860 = 2(x + 4 + x)

$\implies{\rm }$ 860 = 2(2x + 4)

$\implies{\rm }$ 860 = 4x + 8

$\implies{\rm }$ 860 – 8 = 4x

$\implies{\rm }$ 852 = 4x

$\implies{\rm }$ 852/4 = x

$\implies{\rm }$ 213 = x

So, measure of

➭ Breadh is x = 213 m

➭ Length is x + 4 = 213 + 4 = 217 m

_______________

★ Verification ★

➧ 2(213 + 217) = 860

➧ 2(430) = 860

➧ 860 = 860

$\large\boxed{\texttt{Verified}}$

Answer 2

Given ,

The perimeter of a rectangle plot is 860 m

The length of rectangle is 4 more than its breadth

Let ,

• Breadth of rectangle be " x "
• Then , length = " x + 4 "

We know that , the perimeter of rectangle is given by

$\boxed{ \tt{Perimeter = 2(l + b) }}$

Thus ,

860 = 2(x + 4 + x)

430 = 2x + 4

426 = 2x

x = 426/2

x = 213 m

The length and breadth of rectangle are 217 m and 213 m