Question

the sides of a rectangle are 15cm and 10 cm. If each side is increased by 40% , find the percentage increase in area .
pls answer me fast its too urgent​

Answer 1

Answer:

Area of the original rectangle = 15× 10 cm

= 150 cm^2

Increased Length = 15 + (40/100×15) cm

= 21 cm

Increased Breadth = 10 + (40/100×10) cm

= 14 cm

Increased Area = 21 × 14 cm^2

= 294 cm^2

Increased % in the area = (294-150)/150 × 100

= 96 %

Answer 2

Answer:-

Given:

Length of a rectangle = 15 cm.

Breadth of the rectangle = 10 cm.

We know that,

Area of a rectangle = length * breadth

Hence,

Area of the rectangle = (15) * (10)

→ Area of the rectangle = 150 cm²

And,

Each side is increased by 40%.

That is,

Length of the rectangle = 15 * (100 + 40) / 100

→ Length of the rectangle = 15 * 140/ 100

→ Length of the rectangle = 21 cm

And,

Breadth of the rectangle = 10 * (100 + 40) / 100

→ Breadth of the rectangle = 140/10

→ Breadth of the rectangle = 14 cm

Hence,

New area of the rectangle = (21) * (14)

→ New area of the rectangle = 294 cm²

Let the percentage increase in its area be x.

Area of the rectangle * (100 + x) / 100 = New area of the rectangle.

→ 150 * (100 + x) / 100 = 294

→ 3/2 * (100 + x) = 294

→ 100 + x = 294 * 2/3

→ 100 + x = 196

→ x = 196 - 100

→ x = 96 %

Hence, the area of the rectangle increases by 96 % if the sides of the rectangle are increased by 40 %.