Question

A wire bent in the form of a square of side 30 cm is rebent in the form of a rectangle with length 35cm.find width of the rectangle
pls tell​

Answer 1

Answer:

• Width of rectangle is 25 cm.

Step-by-step explanation:

Given :-

• A wire bend in form of square of side 30 cm.
• Then wire is again bend in form of rectangle of length 35 cm.

To find :-

• Width of the rectangle.

Solution :-

Here, Concept is : If we are bending wire in form of square than again bending it in rectangle. Than, perimeter of square will equal to perimeter of rectangle because we are not increasing length of wire by one measure we are bending it in square and rectangular shape.

So,

Perimeter of square = 4 × side

$\longrightarrow$ Perimeter = 4 × 30

$\longrightarrow$ Perimeter = 120

Thus,

Perimeter of square is 120 cm.

According to concept, Perimeter of square and perimeter of rectangle are equal.

So, Perimeter of rectangle is 120 cm.

Let, Breadth or width or rectangle be x cm.

We know,

Perimeter of rectangle = 2(Length + Breadth)

$\longrightarrow$ 120 = 2×(35 + x)

$\longrightarrow$ 120 = 70 + 2x

$\longrightarrow$ 120 - 70 = 2x

$\longrightarrow$ 50 = 2x

$\longrightarrow$ 50/2 = x

$\longrightarrow$ x = 25

We take, Width of rectangle be x.

Therefore,

Width of rectangle is 25 cm.

Answer 2

Answer:

Given :-

• A wire bent in the form of a square of side is 30 cm is rebent in the form of a rectangle with length is 35 cm.

To Find :-

• What is the width of the rectangle.

Formula Used :-

★ Perimeter of the rectangle = 2(L + B) ★

where,

• L = Length
• B = Breadth

Solution :-

Given :

• Side of a square = 30 cm

First we have to find the perimeter of a square,

We know that,

✪ Perimeter = 4(side) ✪

According to the question by using the formula we get,

⇒ Perimeter = 4(30)

➠ Perimeter = 120 cm

Hence, the perimeter of a square is 120 cm .

Now we have to find the width or breadth,

Let, the breadth or width be x

Given :

• Perimeter of a square = 120 cm
• Length = 35 cm

According to the question by using the formula we get,

↦ 2(35 + x) = 120

↦ 70 + 2x = 120

↦ 2x = 120 - 70

↦ 2x = 50

↦ x = 50 ÷ 2

➦ x = 25

∴ The width of the rectangle is 25 cm .

Let's Verify :-

⇒ 2(35 + x) = 120

Put x = 25

⇒ 2(35 + 25) = 120

⇒ 70 + 50 = 120

⇒ 120 = 120

➥ LHS= RHS

Hence, Verified ✔