Advertisements
Advertisements
प्रश्न
The diagonal of a rectangle is 34 cm. If its breadth is 16 cm; find its :
(i) length
(ii) area
उत्तर
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
संबंधित प्रश्न
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.
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.
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)
A rectangular field is 30 m in length and 22m in width. Two mutually perpendicular roads, each 2.5 m wide, are drawn inside the field so that one road is parallel to the length of the field and the other road is parallel to its width. Calculate the area of the crossroads.
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 | ? | ? |
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?
Find the perimeter of the following figure
Each rectangle is made out of 12 equal squares, so all have the same area, but the length of the boundary will be different.
Which of these rectangles has the smallest perimeter?
What is the radius of the largest circle that can be cut out of the rectangle measuring 10 cm in length and 8 cm in breadth?
