Book Maths Puzzle

The length of a rectangular floor is 3m more than its breadth. If the numerical values of the area and perimeter are equal then form an equation for breadth x. Also find the dimensions of the floor

Read Solution (Total 3)

dimensions= 6,3 m.
If breadth=x,then length=x+3
Given Area & perimeter are same so,x(x+3)=2[x+(x+3)],x^2+3x=4x+6 or x^2-x-6=0
(x-3)(x+2)=0 or x=3,so length=3+3=6
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eqn wud b quadratic x^2-x-6=0 with the values for x(i.e breadth) wud b 3m and length 6m.
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equation is y^2-y-6=0 length=6 breadth=3
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Book Other Question

In a triangle the measures of a greatest angle is square of the measure of the smallest angle, and the other angle is double of the smallest angle. Find the greatest angle of the triangle. A vessel is in form of a inverted cone. Its height is 11 cm and the radius of its top which is open is 2.5 cm. It is filled with water up to the rim. When lead sorts, each of which is a sphere of radius 0.25 cm are dropped into the vessel, 2/5 of water flows out. Find the number of lead sorts dropped into the vessel.