Advertisements
Advertisements
Question
The area of a rhombus is 84 m2. If its perimeter is 40 m, then find its altitude.
Solution
Area of the rhombus = 84 m2
Perimeter = 40 m
Now, we know: Perimeter of the rhombus = 4 x Side
\[ \therefore 40 = 4 \times\text{ Side }\]
\[\text{ Side }=\frac{40}{4}=10 m\]
Again, we know: Area of the rhombus = Side x Altitude
\[ \Rightarrow 84 = 10 \times \]Altitude
Altitude \[=\frac{84}{10}= 8.4 m\]
Hence, the altitude of the rhombus is 8.4 m.
APPEARS IN
RELATED QUESTIONS
Mohan wants to buy a trapezium shaped field. Its side along the river is parallel to and twice the side along the road. It the area of this field is 10500 m2 and the perpendicular distance between the two parallel sides is 100 m, find the length of the side along the river.
A flooring tile has the shape of a parallelogram whose base is 24 cm and the corresponding height is 10 cm. How many such tiles are required to cover a floor of area 1080 m2?
The diagonals of a rhombus are 7.5 cm and 12 cm. Find its area.
A rectangular grassy plot is 112 m long and 78 m broad. It has a gravel path 2.5 m wide all around it on the side. Find the area of the path and the cost of constructing it at Rs 4.50 per square metre.
Find the area of a rhombus, each side of which measures 20 cm and one of whose diagonals is 24 cm.
The length of a side of a square field is 4 m. what will be the altitude of the rhombus, if the area of the rhombus is equal to the square field and one of its diagonal is 2 m?
The cost of fencing a square field at 60 paise per metre is Rs 1200. Find the cost of reaping the field at the rate of 50 paise per 100 sq. metres.
A garden is in the form of a rhombus whose side is 30 metres and the corresponding altitude is 16 m. Find the cost of levelling the garden at the rate of Rs 2 per m2.
The area of a rhombus is equal to the area of a triangle whose base and the corresponding altitude are 24.8 cm and 16.5 cm respectively. If one of the diagonals of the rhombus is 22 cm, find the length of the other diagonal.
