Advertisements
Advertisements
Question
Rahim and Peter go for a morning walk, Rahim walks around a square path of side 50 m and Peter walks around a rectangular path with length 40 m and breadth 30 m. If both of them walk 2 rounds each, who covers more distance and by how much?
Advertisements
Solution
Perimeter of the square = (4 × side) units
Side of the square = 50 m
∴ Perimeter = 4 × 50 m = 200 m
Rahim walked twice around the park
∴ Total distance walked by Rahim = 2 × 200 m
Total distance covered by Rahim = 400 m
Perimeter of a rectangle = 2(length + breadth) unit
Length = 40 m
Breadth = 30 m
∴ Perimeter = 2 × (40 + 30) m
= (2 × 70) m
= 140 m
Peter walked around twice
∴ Distance covered by Peter = 2 × 140 m
= 280 m
∴ Distance covered by Peter = 280 m
400 m > 280 m
Difference = 480 – 280
= 120 m
∴ Rahim covers 120 m more than Peter
APPEARS IN
RELATED QUESTIONS
Each side of a rectangle is doubled. Find the ratio between :
(i) perimeters of the original rectangle and the resulting rectangle.
(ii) areas of the original rectangle and the resulting rectangle.
The length and the breadth of a conference hall are in the ratio 7: 4 and its perimeter is 110 m. Find:
(i) area of the floor of the hall.
(ii) a number of tiles, each a rectangle of size 25 cm x 20 cm, required for the flooring of the hall.
(iii) the cost of the tiles at the rate of ₹ 1,400 per hundred tiles.
A rectangular field has length = 160m and breadth = 120 m. Find:
(i) the perimeter of the field.
(ii) the length of fence required to enclose the field.
(iii) the cost of fencing the field at the rate of? 80 per meter.
Find the perimeter of a regular hexagon of side 6.5 cm.
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?
What is the perimeter of the following figures? What do you infer from the answers?
 (a) |
 (c) |
 (b) |
 (d) |
In the following figure, perimeter of (ii) is greater than that of (i), but its area is smaller than that of (i).
 |
 |
| (i) | (ii) |
A large square is made by arranging a small square surrounded by four congruent rectangles as shown in the following figure. If the perimeter of each of the rectangle is 16 cm, find the area of the large square.
What is the perimeter of a rectangle?
What is the correct formula for the perimeter of a rectangle with length (l) and breadth (b)?
