Each grid below has small squares with sides of length 1 cm - Junior Cycle Mathematics - Question 4 - 2019

For a rectangle, the area formula is:

$A = l \times w$

where $l$ is the length and $w$ is the width. To achieve an area of 12 cm², we can choose compatible dimensions. For instance:

• Length = 4 cm and Width = 3 cm,
• Length = 6 cm and Width = 2 cm.

Draw a rectangle using one of these sets of dimensions on the grid.

The area of a triangle is given by:

$A = \frac{1}{2} \times b \times h$

where $b$ is the base and $h$ is the height. To find suitable dimensions for an area of 7 cm², we can rearrange the formula as follows:

$7 = \frac{1}{2} \times b \times h \implies b \times h = 14$

Several combinations can work, such as:

• Base = 7 cm and Height = 4 cm,
• Base = 2 cm and Height = 7 cm.

Select one of these combinations and draw the triangle on the grid, making sure to indicate its base and height clearly.