Advertisements
Advertisements
Question
An increase in perimeter of a figure always increases the area of the figure.
Options
True
False
Advertisements
Solution
This statement is False.
Explanation:
 |
 |
| (i) | (ii) |
This is not necessary.
Perimeter of a closed figure is the distance around it while area is the measure of the part of plane or region enclosed by it.
Hence, perimeter of (ii) is greater than that of (i), but its area is smaller than that of (i).
APPEARS IN
RELATED QUESTIONS
The length of a rectangle is 16 cm and its perimeter is equal to the perimeter of a square with side 12.5 cm. Find the area of the rectangle.
In each of the following cases, ABCD is a square and PQRS is a rectangle. Find, in each case, the area of the shaded portion.
(All measurements are in metre).
(i)
(ii)
Find the perimeter of a rectangle whose:
length = 10 m and breadth = 8 m
Each side of a square plot of land is 55 m. Find the cost of fencing the plot at the rate of ₹32 per meter.
Mohit makes 8 full rounds of a rectangular field with length = 120 m and breadth = 75 m.
John makes 10 full rounds of a square field with each side 100 in. Find who covers larger distance and by how much?
Find the perimeter of an equilateral triangle of side 9.8 cm.
The perimeter of a square plot = 360 m. Find:
- its area.
- cost of fencing its boundary at the rate of ₹ 40 per meter.
- cost of levelling the plot at ₹60 per square meter.
A game requires its players to run around a square playground. Each side of the playground is 20 m long. One player took 5 rounds around the playground. How many metres did he run altogether?
Look at the figures on the sheet of graph paper. Measure their sides with the help of the lines on the graph paper. Write the perimeter of each in the right box.
- Perimeter of rectangle ABCD = ______ cm.
- Perimeter of rectangle EFGH = ______ cm.
- Perimeter of square PQRS = ______ cm.
- Perimeter of rectangle STUV = ______ cm.
Find the cost of fencing a rectangular park of length 175 m and breadth of 125 m at the rate of ₹ 12 per metre.
