Question

The length of a rectangle is 20 cm and breadth is 12 cm. If the breadth of the rectangle is reduced to 8 cm. What will be the length of the rectangle if the area remians the same? ​

Answer 1

Answer:

• Length of rectangle is 60 cm.

Step-by-step explanation:

Given that,

Length of rectangle is 20 cm.

Breadth of rectangle is 12 cm.

Area of rectangle = Length × Breadth

$\longrightarrow$ Area = 20 × 12

$\longrightarrow$ Area = 240

Area of rectangle is 240 cm².

• If Breadth of rectangle is reduced 8 cm.

Breadth = 12 cm [Reduce 8 cm from it]

So,

$\longrightarrow$ 12 - 8

$\longrightarrow$ 4

Breadth of rectangle is 4 cm.

• Now, Area will same .

According to question :

$\longrightarrow$ 240 = Length × Breadth

$\longrightarrow$ 240 = Length × 4

$\longrightarrow$ 240/4 = Length

$\longrightarrow$ Length = 60

Therefore,

Length of rectangle is 60 cm.

Answer 2

Answer:

The length of a rectangle is 20 cm

breadth is 12 cm

area = 20 x 12 cm²

        = 240 cm²

Now,

breadth of the rectangle is reduced to 8 cm

let, length be a cm

therefore, area = 8a cm²

                  240 = 8a

                       a = 30

thus, the length of the rectangle is 30 cm

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