Question

A wire is in the shape of a rectangle. Its length is 42. 7 m and breadth is 21.8 m. If the same wire is re-bent in the shape of a square, what will be the measure of each side?
Also find which enclosed more area?​

Answer 1

Solution

Given :-

• Length of Rectangle = 42.7 m
• Breadth of Rectangle = 21.8 m
• the same wire is re-bent in the shape of a square, what will be the measure of each side.

Find :-

• Area of rectangle
• Side of square .

Explanation

Using Formula

$\boxed{\underline{\tt{\red{\:Area_{Rectangle}\:=\:(Length\times\: Breath)}}}}$

$\boxed{\underline{\tt{\blue{\:Area_{Square}\:=\:(Side)^2}}}}$

Now,

➛ Area of rectangle = 42.7 × 21.8

➛ Area of rectangle = 930.86 m².

Now, Calculate perimeter of rectangle

➛ perimeter of rectangle = 2×(42.7+21.8)

➛ perimeter of rectangle = 2×(64.5)

➛ perimeter of rectangle = 129.0

➛ perimeter of rectangle = 129 m

If we re-bend wire in shape of square .

Tehn, perimeter of rectangle and square will be same.

That's Means,

➠ perimeter of rectangle = perimeter of square

➠ perimeter of square = 129 m²

We Know,

★ Perimeter of square = 4 × Side

So,

➠Side = 129/4

➠ Side = 32.25 m

➠Side = 32.25 m

Hence

• Area of rectangle = 930.86 m²

• Side of Square = 32.25 m²

___________________

Answer 2

Answer:

Given :-

Length of Rectangle = 42.7 m

Breadth of Rectangle = 21.8 m

the same wire is re-bent in the shape of a square, what will be the measure of each side.

Find :-

Area of rectangle

Side of square .

Explanation

Using Formula

Now,

➛ Area of rectangle = 42.7 × 21.8

➛ Area of rectangle = 930.86 m².

Now, Calculate perimeter of rectangle

➛ perimeter of rectangle = 2×(42.7+21.8)

➛ perimeter of rectangle = 2×(64.5)

➛ perimeter of rectangle = 129.0

➛ perimeter of rectangle = 129 m

If we re-bend wire in shape of square .

Tehn, perimeter of rectangle and square will be same.

That's Means,

➠ perimeter of rectangle = perimeter of square

➠ perimeter of square = 129 m²

We Know,

★ Perimeter of square = 4 × Side

So,

➠Side = 129/4

➠ Side = 32.25 m

➠Side = 32.25 m

Hence

Area of rectangle = 930.86 m²

Side of Square = 32.25 m²

Step-by-step explanation: