The area of rectangle is the product of its length and width. If the width of rectangle is decreased by 25% and length is increased by 16% than the area:
Answer: Decrease by 13%
Explanation
Let's assume the original length and width of the rectangle are L and W
Then, the original area of the rectangle is: A = L x W
If the width of the rectangle is decreased by 25%, its new width is:
W = W - 0.25W = 0.75W
If the length of the rectangle is increased by 16%, its new length is:
L = L + 0.16L = 1.16L
The new area of the rectangle is:
A = L x W
A = (1.16L) x (0.75W)
A = 0.87LW
So the new area is 0.87 times the original area.
This means that the new area is decreased by 13% compared to the original area.
ND06-08-2023
This question appeared in
Past Papers (6 times)
FIA Inspector Past Papers (1 times)
FIA Past Papers (1 times)
FPSC 5 Years Past Papers Subject Wise (Solved With Details) (2 times)
FPSC Past Papers (2 times)
This question appeared in
Subjects (2 times)
MATHS MCQS (2 times)
Related MCQs
- If the length of a rectangle is increased by 20% and the width is decreased by 20% what change will occurred in the area of rectangle?
- The width of a rectangle is twice the size of its length The length is increased by 30% and width is increased by 20%, what will be the percentage change in the area of rectangle?
- A rectangle has a length of x³ - x + 2 and a width of x + x². What is the area of the rectangle when x = 2?
- There is 10% increase in the length of a rectangle and 10% increase in the width of a rectangle. what is the percentage change in the area of the rectangle?
- What is the area of a rectangle with a length of 7 cm and a width of 2 cm?
- If the area of rectangle is 50 cm^2 and the length is 10 cm, what is the width?
- The area of rectangle is x² - 5x + 6, its length and width will be ______? None of these
- The area of a rectangle garden is 96m². If it's width is 3m, find its length?
- A rectangle has 15 cm as its length and 150 cm² as its area. Its area is increased to 1 1/3 times the original area by increasing only its length. The new perimeter is ______?
- A rectangle field has its length 3 times as its width. If its area is 243 sq. m. Find its perimeter?