Question

-4. The breadth of a rectangular park is 7m less than its length. If the perimeter of the
park is 1034 m, find the dimensions of the park.
bition or not​

Answer 1

✬ Length = 262 m ✬

✬ Breadth = 255 m ✬

Step-by-step explanation:

Given:

• Breadth of a rectangular park is 7 m less than length.
• Perimeter of park is 1034 m.

To Find:

• What are the dimensions of park ?

Solution: Let the length of park be x m. Therefore,

➟ Breadth of park = (x – 7) m

As we know that

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

A/q

• Perimeter is 1034 m.

$\implies{\rm }$ 1034 = 2(Length + Breadth)

$\implies{\rm }$ 1034 = 2(x + x – 7)

$\implies{\rm }$ 1034 = 2(2x – 7)

$\implies{\rm }$ 1034 = 4x – 14

$\implies{\rm }$ 1034 + 14 = 4x

$\implies{\rm }$ 1048 = 4x

$\implies{\rm }$ 1048/4 = x

$\implies{\rm }$ 262 = x

So, measure of

➫ Length of park is x = 262 m.

➫ Breadth of park is 262 – 7 = 255 m.

______________________

★ Verification ★

➼ 1034 = 2(262 + 255)

➼ 1034 = 2(517)

➼ 1034 = 1034

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

Answer 2

☯️ GIVEN :-

• The breadth of a rectangular park is 7m less than its length.
• Perimeter of the Park is 1034 m.

☯️ TO FIND :-

• Dimensions Of Park.

☯️ SOLUTION :-

Let the Length be x m.

So, Breadth will become x-7 m.

And, Formula For Perimeter = 2(l + b).

According To The Question,

2(x + x - 7) = 1034m.

➠ 2(2x - 7) = 1034.

➠ 4x - 14 = 1034.

➠ 4x = 1034 + 14.

➠ 4x = 1048.

➠ x = 1048/4.

➠ x = 262.

So,

✮ Length = x = 262m.

✮ Breadth = x-7 = 255m.

Hence, The Dimensions Are 262 and 255 meters respectively.