If the diagonal of a rectangle is 17cm long and its perimeter is 46 cm. Find the area of the rectangle.
let length = x and breadth = y then
2(x+y) = 46 x+y = 23
x²+y² = 17² = 289
now (x+y)² = 23²
289+ 2xy = 529
xy = 120
area = xy = 120 sq.cm
The length of a rectangular hall is 5m more than its breadth. The area of the hall is 750 m. The length of the hall is
Let breadth = x m
Then, length = (x+5)m
x(x+5) = 750
x² + 5x - 750= 0
x = 25
What is the rate of interest p.c.p.a.?
I. An amount doubles itself in 5 years on simple interest.
II. Difference between the compound interest and the simple interest earned on a certain amount in 2 years is Rs. 400.
III. Simple interest earned per annum is Rs. 2000
Thus I only or (II and III) give answer.
Correct answer is (D)
Find the ratio of the areas of the incircle and circumcircle of a square.
Let the side of the square be x. Then, its diagonal =
Radius of incircle =
Radius of circum circle=
Required ratio =
One side of a rectangular field is 15m and one of its diagonal is 17m. Find the area of field?
Other side = [(17 x 17) - (15 x 15)] = (289 - 225) = 8mArea = 15 x 8 =120 sq. m
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