Geometry Answers

ABC is a triangle in which AB=AC=4 cm and angle A=90 degrees. Calculate the area of triangle ABC.

The perimeter of an isosceles triangle is 42 cm. It's base is 2/3 times the sum of equal sides. Find the length of each side and the area of the triangle.

The perimeter of an equilateral triangle is √3 times its area. Find the length of each side.

A floor which measures 15 m*8 m is to be laid with tiles measuring 50 cm*25 cm. Find the number of tiles required. Further, if a carpet is laid on the floor so that a space of 1 m exists between its edges of the floor, what fraction of the floor is uncovered?

Find the cost of the paper for the walls of the room if each piece of paper is 40 cm wide and 60 cm long : the room is 6 m long, 4 m wide, 3 m high and the cost of paper is Rs 1.40 per piece; allow 11 m square for doors, etc., and assume that a whole number of pieces has to be bought.

How many dusters, each 16 cm square can be cut from material 84 cm long, 36 cm wide? What area remains over?

An open tin box, 21 cm long, 9 cm wide, 8 cm high, is fitted with a thin lid which overlaps to a depth of 1 cm all round. What is the total area of tin sheeting used for the box and the lid?

A cistern 6 m long, 4 m wide, contains water to a depth of 1 m 25 cm : find the area of the wet surface.

Find the area of the thin sheeting required for making an open cistern (i.e.without a lid), 5 m long, 3 m wide, 4 m deep.

The perimeter of one square is 748 cm and that of another is 336 cm. Find the perimeter and the diagonal of a square which is equal in area to these two.