The side of a rectangle are 20 cm and 15cm. If each side is increased by 20% , find the percentage increase in the area.
Answers
Step-by-step explanation:
if it increases from all side by 20% then it's% of area increases is also 20%
I hope it will help
-----------------------------------------------------------------
STEP 1 :- Find the area of the rectangle:
Area = Length x Breadth
Area = 20 x 15 = 300 cm²
-----------------------------------------------------------------
STEP 2 :- Find the new length and breadth:
Increase in length = 20% x 20 = 0.2 x 20 = 4 cm
New Length = 20 + 4 = 24 cm
Increase in breadth = 20% x 15 = 0.2 x 15 = 3cm
New Breadth = 15 + 3 = 18 cm
-----------------------------------------------------------------
STEP 3 :- Find new area:
Area = Length x Breadth
Area = 24 x 18 = 432 cm²
-----------------------------------------------------------------
STEP 4 :- Find the percentage increased:
Area increased = 432 - 300 = 132 cm²
Percentage increased = 132/300 x 100 = 44%
-----------------------------------------------------------------
Answer :- The area increased by 44%
-----------------------------------------------------------------