Advertisements
Advertisements
प्रश्न
The perimeter of a rectangle is 46 m and its length is 15 m. Find its :
(i) breadth
(ii) area
(iii) diagonal.
Advertisements
उत्तर
(i)
Perimeter of rectangle = 46 m
length, l = 15 m
2 (l+b) = 46
2(15 + b) = 46
15+b = `46/2` = 23
b = 23 – 15
b = 8 m
(ii)
area = `l xx b = 15 xx 8 = 120 "m"^2`
(iii)
diagonal = `sqrt(l^2 + b^2) = sqrt(15^2 + 8^2)`
= `sqrt(225 + 64) = sqrt(289) = 17`m
Hence (i) 8 m (ii) 120 m2 (iii) 17 m
APPEARS IN
संबंधित प्रश्न
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)
The length and the breadth of a rectangular field are in the ratio 5: 4 and its area is 3380 m2. Find the cost of fencing it at the rate of ₹75 per m.
A path of uniform width, 2.5 m, runs around the inside of a rectangular field 30 m by 27 m. Find the area of the path.
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.
Find the perimeter of a regular hexagon of side 6.5 cm.
The perimeter of a rectangular field is 500 m and its length = 150 m. Find:
(i) its breadth,
(ii) its area.
(iii) cost of ploughing the field at the rate of ₹1.20 per square meter.
The cost of flooring a hall of ₹64 per square meter is ₹2,048. If the breadth of the hall is 5m, find:
(i) its length.
(ii) its perimeter.
(iii) cost of fixing a border of very small width along its boundary at the rate of ₹60 per square meter.
Each side of a square is 9 m long. Find its perimeter.
If every side of a rectangle is doubled, then its area becomes _______ times
A rectangular path of 60 m length and 3 m width is covered by square tiles of side 25 cm. How many tiles will there be in one row along its width? How many such rows will be there? Find the number of tiles used to make this path?
