Perimeter and Area Solution2





In this page perimeter and area solution2 we are going to see solution of some practice questions.

Question 2 :

The cost of a right triangular land and the cost of a rectangular land are equal. Both the lands are adjacent to each other. In a right triangular land the adjacent sides of the right angles are 30 m and 40 m. The dimensions of the rectangular land are 20 m and 15 m. Which is best to purchase?

Solution:

Let us take a right angle triangle ABC,in which right angle is at B.In a right triangular land the adjacent sides of the right angles are 30 m and 40 m.

AB = 30 m and BC = 40 m

The dimensions of the rectangular land are 20 m and 15 m.

Length of rectangular land = 20 m

Width of rectangular land = 15 m

Cost of right angle triangle ABC = Cost of rectangular field ABCD

To find which purchase is best we need to find the area of both lands separately,

Area of right angle triangle ABC = (1/2) x b x h

                                              = (1/2) x 40 x 30

                                              = 40 x 15

                                              = 600 m²

Area of rectangular field = Length x Width

                                   = 20 x 15

                                   = 300 m²

Since area of right triangle is more we can choose right triangle field for best purchase.

perimeter and area solution2