Advertisements
Advertisements
Question
The diagonal of a rectangular board is 1 m and its length is 96 cm. Find the area of the board.
Advertisements
Solution
Length of diagonal (AB) = 96 cm
Diagonal (AC) = 1 m = 100 cm
In right-angled triangle ABC,
By Applying Pythagoras Theorem,
(AC)2 = (AB)2 + (BC)2
= (100)2 = (96)2 + BC2
10000 = 9216 = BC2
10000 − 9216 = BC2
`sqrt784` = BC
∴ BC = 28 cm
Area of the rectangular board
= l × b or AB × BC
= 96 × 28
= 2688 cm2
APPEARS IN
RELATED QUESTIONS
In the given figure, ABCD is a rectangle with sides AB = 10 cm and AD = 5 cm. Find the area of ΔEFG.
The median of a triangle divides it into two ______.
Diagonal AC and BD of trapezium ABCD, in which AB || DC, intersect each other at O. The triangle which is equal in area of ΔAOD is
The perimeter of a triangle ABC is 37 cm and the ratio between the lengths of its altitudes be 6: 5: 4. Find the lengths of its sides.
Let the sides be x cm, y cm, and (37 - x - y) cm. Also, let the lengths of altitudes be 6a cm, 5a cm, and 4a cm.
Find the area of a square, whose side is: 4.5 cm.
The table given below contains some measures of the rectangle. Find the unknown values.
| Length | Breadth | Perimeter | Area |
| ? | 15 cm | 60 cm | ? |
So the area of piece A = ________ square cm
This stamp has an area of 4 square cm. Guess how many such stamps will cover this big rectangle.
Find the area of the following figure by counting squares:
Which unit is used to express area?
