Question

4 yd 8 yd 9 yd fred will cover 108 square yards of the park with sand.

Explanation:

Step1: Calculate the area of the parallelogram

The formula for the area of a parallelogram is \(A = base\times height\). Here, the base is \(4\) yd and the height is \(9\) yd. So, \(A_{1}=4\times9 = 36\) square yards.

Step2: Calculate the area of the rectangle

The formula for the area of a rectangle is \(A = length\times width\). Here, the length is \(8\) yd and the width is \(9\) yd. So, \(A_{2}=8\times9=72\) square yards.

Step3: Calculate the total area

The total area \(A = A_{1}+A_{2}\). Substitute \(A_{1}=36\) and \(A_{2} = 72\) into the formula. \(A=36 + 72=108\) square yards.

Answer:

\(108\) square yards.