Advertisements
Advertisements
Question
The diagonal of a rectangle is 34 cm. If its breadth is 16 cm; find its :
(i) length
(ii) area
Advertisements
Solution

AC2 = AB2+BC2 (By Pythagoras theorem)
(34)2 = l2 + (16)2
1156 = l2 + 256
l2 = 1156 – 256
l2 = 900
l = `sqrt(900)` = 30 cm
area = l x b = 30 x 16 = 480 cm2
(i) 30 cm (ii) 480 cm2
APPEARS IN
RELATED QUESTIONS
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.
Find the perimeter of a regular pentagon of side 8.2 cm.
If A denotes area of a rectangle, l represents its length and b represents its breadth, find:
l, if A = 48 cm² and b = 6 cm
If A denotes area of a rectangle, l represents its length and b represents its breadth, find:
b, if A = 88 m² and l = 8m
The length of a rectangle is three times its breadth. If the area of the rectangle is 1875 sq. cm, find its perimeter.
Each side of a square is 9 m long. Find its perimeter.
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?
The table given below contains some measures of the rectangle. Find the unknown values.
| Length | Breadth | Perimeter | Area |
| 5 cm | 8 cm | ? | ? |
Length and breadth of a rectangular sheet of paper are 20 cm and 10 cm, respectively. A rectangular piece is cut from the sheet as shown in the following figure. Which of the following statements is correct for the remaining sheet?

Length of a rectangle is three times its breadth. Perimeter of the rectangle is 40 cm. Find its length and width.
