Question

1. the local firefighters collect toys to distribute at various give - away events. they have toys and will sponsor give - away events. how many toys can they give away at each event? how many toys, if any, will be left over?

write an equation that could be used to calculate the area, a, of each of the figures.
5.
6.
7.

Explanation:

Step1: Triangle area formula recall

The area of a triangle is $\frac{1}{2} \times \text{base} \times \text{height}$.
For figure 5, base = $x$ mm, height = 9 mm.
$A = \frac{1}{2} \times x \times 9$
Simplify: $A = \frac{9}{2}x$

Step2: Trapezoid area formula recall

The area of a trapezoid is $\frac{1}{2} \times (\text{sum of parallel sides}) \times \text{height}$.
For figure 6, parallel sides = $x$ in and 8 in, height = $y$ in.
$A = \frac{1}{2} \times (x + 8) \times y$
Simplify: $A = \frac{y(x+8)}{2}$

Step3: Parallelogram area formula recall

The area of a parallelogram is $\text{base} \times \text{height}$.
For figure 7, base = $x$ ft, height = 3 ft.
$A = x \times 3$
Simplify: $A = 3x$

Step4: Note problem 4 limitation

Problem 4 has missing values (number of toys and events), so it cannot be solved with the given information.

Answer:

Problem 4: Cannot be solved (missing number of total toys and total events)
Problem 5: $A = \frac{9}{2}x$
Problem 6: $A = \frac{y(x+8)}{2}$
Problem 7: $A = 3x$