Let's investigate

Tia says:

Is Tia correct? Explain your answer.

2) Draw the rectangles listed in the table and work out their area and perimeter.

3) To work out the area of a rectangle multiply its length by its width.
We can write this as:
$length \times width = area\,or\,I \times w = a$
Write and complete the following:
(a) $width \times ....... = area$
(b) $area \div width = .......$
(c) $area \div length = .......$

4) Use your answers from question 3 to work out the length of a rectangle with:
(a) a width of $4cm$ and an area of $24cm$
(b) a width of $7cm$ and an area of $56cm$
(c) a width of $2/5cm$ and an area of $25cm$
(d) a width of $1/5cm$ and an area of $12cm$
(e) a width of $2/1cm$ and an area of $16/8cm$
(f) a width of $5cm$ and an area of $26cm$.

5) (a) Investigate what size rectangle would have an area of $27/5c{m^2}$ and a perimeter of $21cm$.

(b) Draw a rectangle with an area of $27/5cm$ and a perimeter of $21cm$. Label the rectangle with its length and width.