Question

A square of 36cm2 is cut to make two rectangles. The ratio is 2:1. Work out the dimensions of the rectangles

Answer 1

The dimensions of rectangle a are 6x4 and dimensions of rectangle b are 6x2.

We are given a square with area 36 squared cm. Therefore, dimension of the square will be 6 cm.

The square is cut into two rectangles with areas in the ratio 2:1.

Let the dimensions of the rectangles be 6*a and 6*b. Therefore, we can set up the ratio of areas as:

Moreover, we can set the combined area of rectangles equal to the area of square to form another equation:

Using substitution method, we can solve for 'a' and 'b' as shown below:

And

Therefore, dimensions of the two rectangles are 6x4 and 6x2, respectively.