Question

At the Middleton School festival, a tent covers a rectangular space 30 1/2 yards long and 9 1/3 yards wide. What is the area, in square yards, covered by the tent?

Answer 1

284 ²/₃ square yards

Explanation:

Area of a rectangle

Area = length × width

Given:

• length = 30 ¹/₂ yards
• width = 9 ¹/₃ yards

Substitute the given values into the formula and solve for area:

`\begin{aligned}\sf Area & = \left(30+(1)/(2)\right) * \left(9+(1)/(3)\right)\\\\ & = (30 *2+1)/(2) * (9 * 3+1)/(3)\\\\ & = (61)/(2) * (28)/(3)\\\\& = (61 * 28)/(2 * 3)\\\\ & = (1708)/(6)\\\\ & = (1704+4)/(6)\\\\ & = (1704)/(6)+(4)/(6)\\\\ & =284\: (2)/(3)\:\:\sf square\:yards\end{aligned}`

Therefore, the area covered by the tent is 284 ²/₃ square yards.

Answer 2

• 284 2/3 square yards

Explanation:

Area of rectangle:

• A = lw
• A = 30 1/2 * 9 1/3 = 61/2 * 28/3 = 854/ 3 = 284 2/3 square yards