Question

A square of area 36cm squared on is cut to make two rectangles, A and B.
The ratio of area A to area B is 2 : 1
Work out the dimensions of rectangles A and B.
Rectangle A
Rectangle B
Length:
Length:
Width:
Width:
​

Answer 1

Answer:

Answer:

Dimensions of:

Rectangle A are 6 cm by 4 cm.

Rectangles B are 6 cm by 2 cm.

Step-by-step explanation:

It is given that:

The area of square is 36 cm^2.

Hence, the side of the square is given as:

\begin{gathered}Area=(side)^2\\\\36=(side)^2\\\\side=6\end{gathered}

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 cm^2.

and area of rectangle B is 12 cm^2.

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

Area of rectangle A=2×12=24 cm^2.

Area of rectangle B=1×12=12 cm^2. )

Hence, the dimensions of A are:

6 cm by 4 cm.

and the dimensions of rectangle B are:

6 cm by 2 cm.