Question

A square of area 36cm2 is cut into 2 rectangles A and B. The ratio of area A to B is 2:1. Work out the dimensions of rectangles A and B​

Answer 1

first, we need to find side of square

`{x}^(2) = 36 \\ x = 6`

36:3=12cm^2 - for 1 part

first rectangle has area of

12*2=24cm^2

secomd rectandle has area of

12*1=12cm^2

first side of rectangles is 6cm

second side of first rectangle:

`6 * x = 24 \\ x = 4`

second side of second rectangle:

`6 * x = 12 \\ x = 2`

Answer:

the dimensions of first rectangle: 4 and 6

the dimensions of second rectangle: 2 and 6

Answer 2

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: