Advertisements
Advertisements
प्रश्न
The diagonal of a rectangular plot is 34 m and its perimeter is 92 m. Find its area.
Advertisements
उत्तर
Let a and b be the sides of the rectangle
Since the perimeter is 92 m, we have,
2( a + b ) = 92
⇒ a + b = 46 m ...(1)
Also, given that diagonal of a trapezium is 34 m.
⇒ a2 + b2 = 342 ....(2)
We know that
( a + b )2 - a2 - b2 = 2ab
From equations (1) and (2), we have,
462 - 342 = 2ab
⇒ 2ab = 960
⇒ ab = `960/2`
⇒ ab = 480m2.
APPEARS IN
संबंधित प्रश्न
Diagram of the adjacent picture frame has outer dimensions = 24 cm × 28 cm and inner dimensions 16 cm × 20 cm. Find the area of each section of the frame, if the width of each section is same.
The perimeter of a rhombus is 46 cm. If the height of the rhombus is 8 cm; find its area.
The rate for a 1.20 m wide carpet is Rs. 40 per meter; find the cost of covering a hall 45 m long and 32 m wide with this carpet. Also, find the cost of carpeting the same hall if the carpet, 80 wide, is at Rs. 25. Per meter.
Find the area and perimeter of a square plot of land, the length of whose diagonal is 15 meters. Given your answer correct to 2 places of decimals.
The floor of a room is of size 6 m x 5 m. Find the cost of covering the floor of the room with 50 cm wide carpet at the rate of Rs.24.50 per metre. Also, find the cost of carpeting the same hall if the carpet, 60 cm, wide, is at the rate of Rs.26 per metre.
Find the diagonal of a quadrilateral whose area is 756cm2 and the perpendicular from the opposite vertices are 17cm and 19cm.
Find the area of quadrilateral PQRS.
In the following, find the value of ‘a’ for which the given points are collinear
(2, 3), (4, a) and (6, – 3)
If vertices of a quadrilateral are at A(– 5, 7), B(– 4, k), C(– 1, – 6) and D(4, 5) and its area is 72 sq. units. Find the value of k.
If the diagonal d of a quadrilateral is doubled and the heights h1 and h2 falling on d are halved, then the area of quadrilateral is ______.
