Question

A wire 120 cm long is bent. into a rectangle with length 50 cm. Find its breadth and area ​

Answer 1

Answer:

Breadth 10

Area 100

Step-by-step explanation:

length of Rectangle is 50 cm

sum of length of rectangle is 50+50 =100

breath of rectangle is 10 cm

area of rectangle 50×10 = 100 cm

Answer 2

Answer:

Breadth of rectangle = 10 cm

Area of rectangle = 500 cm²

Step-by-step explanation:

Given that:

• A wire 120 cm long is bent into a rectangle with length 50 cm.

If a wire is bent into a rectangular shape then the length of the wire will be equal to the perimeter of rectangle.

Let the Breadth of the rectangle be x cm.

To find:

• Breadth and Area of rectangle.

★ Formula needed:

Perimeter of rectangle = 2(Length + Breadth) unit

Area of rectangle = (Length × Breadth) sq. unit

Finding the breadth of rectangle:

According to the question,

→ 2(50 + x) = 120

→ 50 + x = 120/2

→ 50 + x = 60

→ x = 60 - 50

→ x = 10

∴ Breadth of the rectangle = x = 10 cm

Finding the area of rectangle:

• Area of rectangle = (50 × 10) cm²
• Area of rectangle = 500 cm²