Question

a square of area is 36 cm squared is cut to make two triangles, A and B. The ratio of area A to area B is 2:1. Work out the dimensions of rectangles A and B.

Answer 1

Dimensions of:

Rectangle A are 6 cm by 4 cm.

Rectangles B are 6 cm by 2 cm.

Explanation:

It is given that:

The area of square is 36 cm^2.

Hence, the side of the square is given as:

Area=(side)²

36=(side)²

side=6

Hence, the side of square is 6 cm.

Now, as the area of two rectangles A and B are in the ratio:

2:1

This means that, the area of rectangle A is 24 cm².

and area of rectangle B is 12 cm²

( Since, 36/(2+1)=36/3=12

Area of rectangle A=2×12=24 cm²

Area of rectangle B=1×12=12 cm². )

Hence, the dimensions of A are:

6 cm by 4 cm.

and the dimensions of rectangle B are:

6 cm by 2 cm.