Question

1. higher order thinking an art class is planning to paint a rectangular mural with an area of 60 square feet. it has to be at least 4 feet high but no more than 6 feet high. the length and width have to be whole numbers. list all possible widths for the mural.

Explanation:

Step1: Recall area formula for rectangle

Area: $A = l \times w$, where $l$ = height, $w$ = width

Step2: Set height constraints

$4 \leq l \leq 6$, $l$ is whole number, so $l \in \{4,5,6\}$

Step3: Solve for width when $l=4$

$w = \frac{60}{4} = 15$

Step4: Solve for width when $l=5$

$w = \frac{60}{5} = 12$

Step5: Solve for width when $l=6$

$w = \frac{60}{6} = 10$

Step6: List valid whole number widths

All calculated widths are whole numbers, so collect them.

Answer:

10 feet, 12 feet, 15 feet