Advertisements
Advertisements
Question
The perimeter of a rectangle is 46 m and its length is 15 m. Find its :
(i) breadth
(ii) area
(iii) diagonal.
Advertisements
Solution
(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
RELATED QUESTIONS
Find the perimeter of a rectangle whose:
length = 3.6 m and breadth = 2.4 m
The length of a rectangle is twice of its breadth. If its perimeter is 60 cm, find its length.
A rectangular piece of paper has area = 24 cm² and length = 5 cm. Find its perimeter.
Each rectangular tile is 40 cm long and 30 cm wide. How many tiles will be required to cover the floor of a room with length = 4.8 m and breadth = 2.4 m.
Each side of a square tile is 60 cm. How many tiles will be required to cover the floor of a hall with length = 50 m and breadth = 36 m.
A farmer has a rectangular field of length and breadth 240 m and 180 m respectively. He wants to fence it with 3 rounds of rope as shown in the figure. What is the total length of rope he must use?
There is a rectangular lawn 10 m long and 4 m wide in front of Meena’s house (see the figure). It is fenced along the two smaller sides and one longer side leaving a gap of 1 m for the entrance. Find the length of fencing.
A rectangular piece of land measures 0.7 km by 0.5 km. Each side is to be fenced with 4 rows of wires. What is the length of the wire needed?
An increase in perimeter of a figure always increases the area of the figure.
What is the correct formula for the perimeter of a rectangle with length (l) and breadth (b)?
