Question

Laisha drew a model on grid paper of a decorator tile that she wants to buy. Each grid line represents 5 cm. Her drawing has coordinates (3, 4), (5, 10), (7, 4), and (5, 0). Calculate the area of the real tile.

Answer 1

Answer:

The area of the real tile is 20 cm².

Step-by-step explanation:

Plot the points provided on a graph using grid line representing 5 cm each as follows.

The diagram below shows that the model of the tile is in the shape of a kite.

The area of a kite is:

$\text{Area of a Kite}=\frac{p\times q}{2}$

Here, p and q are the two diagonals.

The measure of diagonals p and q are:

p = 10 cm

q = 4 cm

Compute the area of the kite as follows:

$\text{Area of a Kite}=\frac{p\times q}{2}$

                       $=\frac{10\times 4}{2}\\\\=10\times 2\\\\=20$

Thus, the area of the real tile is 20 cm².