Question

warren is looking to fill a part of a park with sand. the shape below represents the part of the park being covered in sand. how many square yards of the park will warren cover in sand? solve on paper if you need to. then, enter your answer on zearn. warren will cover square yards of the park with sand.

Explanation:

Step1: Calculate the area of the rectangle

The formula for the area of a rectangle is \(A = l\times w\). Here, \(l = 8\) yd and \(w=9\) yd.
\(A_{rectangle}=8\times9 = 72\) square yards.

Step2: Calculate the area of the trapezoid

The formula for the area of a trapezoid is \(A=\frac{(a + b)h}{2}\). Here, \(a = 4\) yd, \(b = 0\) yd (assuming the non - parallel side of the trapezoid adjacent to the rectangle has one side length as \(0\) for the purpose of this combined - shape calculation, since it's a right - angled trapezoid formed adjacent to the rectangle), and \(h = 9\) yd.
\(A_{trapezoid}=\frac{(4 + 0)\times9}{2}=\frac{4\times9}{2}=18\) square yards.

Step3: Calculate the total area

The total area \(A = A_{rectangle}+A_{trapezoid}\).
\(A=72 + 18=90\) square yards.

Answer:

90