Question
The side of a square is equal to the perimeter of an
equilateral triangle of area 36√3 cm2 . Find the area of the square?Solution
Area of equilateral triangle = (√3 x side2)/4 ⇒ (√3 x side2)/4 = 36√3 ⇒ Side = 12 cm Perimeter of equilateral triangle = 3 x side = 3 x 12 = 36 cm Side of square = 36 cm Area of square = (Side)2 cm2 Area of square = 1296 cm²
The radius of a right circular cylinder is 4 times its height. If the height of the cylinder is 2.5 cm, then what is the volume of the cylinder? (in cub...
Determine the volume of a cube if the total cost to paint its four walls is Rs. 1280, given that the painting rate is Rs. 5 per square meter.
- The inner radius of a cylindrical container is 3 cm. If the length of the container and the thickness of the container are 18 cm and 4 cm, respectively, fi...
Imagine that you have three identical cubes, each with a side length of 8 cm. These cubes are aligned and combined along their sides to form a single, e...
Angle bisectors of Q and R meet at point S, inside the triangle PQR. If angle QSR = 126Ëš , then the measure of angle P is:
Angle bisectors of Q and R meet at point S, inside the triangle PQR. If angle QSR = 116Ëš , then the measure of angle P is:
The difference between the length and breadth of a rectangle is 27 m. If its perimeter is 194 m, then its area is
A hemispherical bowl made of iron has an inner diameter of 84 cm. Find the cost of tin plating it on the inside at the rate of Rs.21 per 100cm² take π...
The ratio between the number of sides of two regular polygon is 2:5 and the ratio between their interior angles is 10:12. The number of sides of these p...
A sphere of radius 21 cm is melted and recast into 66 smaller spheres of equal size. Find the radius of each smaller sphere(approximately).
