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Let the side of the square be a Then, AD = 15 – a and FC = 20 - a Area of Triangle ABC = 1/2 × Base × Height = 1/2 × 15 ×20 = 150 cm² Now, Area of Triangles ADE and EFC + Area of Square BDEF = Area of Triangle ABC ∴ 1/2 ×a × (15 - a) + 1/2 × a × (20 - a) + a² = 150 15a/2 - a²/2 + 10a - a²/2 + a² = 150 (15a+20a)/2 = 150 35a = 300 a = 300/35 = 60/7 cm Area of Square = 3600/49 cm²
The total surface area of a cube is given as 486 cm². What is the volume of the cube?
A sold a mobile phone to B at a gain of 25% and B sold it to Cat a loss of 10%. If C paid 5625 for it, how much did A pay (in) for the phone?
The surface area of water in a swimming pool forms a rectangle with length 30m and breadth 12m. The depth of water increases uniformly from 1.4m to 2.6m...
The area of a square field is 1250 sq m. How long in seconds will a lady take to cross the field diagonally at the rate of 5 km/hr?
Perimeter of a rectangle is 40% more than that of a square of side 40 cm. If difference between length and breadth of the rectangle is 8 cm, then find t...
Find the area of a triangle whose base is 35 cm and altitude is 40 cms.
Perimeter of a square field is 160 meters and the area of a rectangular field is 30% more than that of the square field. Find the area (in m2...
If the lateral surface area of a regular tetrahedron is 108√3 cm², what is its volume?
The difference between each Internal angle and each external angle of a polygon is 60°. Find the number of Sides.
