Question

you want to build a garden in your backyard that fits into an odd shaped space and enclose it with a fence to keep the dogs out. use the image of the space below to answer the following questions. write final answers to one decimal place. a) area of the garden = 3295.6 meters × enter an integer or decimal number more.. b) fencing required = 68337561 square meters ×

Explanation:

Step1: Divide the shape into rectangles

We can divide the given shape into two rectangles. One rectangle has dimensions \(11\ m\times5\ m\) and the other has dimensions \((10.7 - 5)\ m\times5.6\ m\).

Step2: Calculate the area of the first rectangle

The area of a rectangle is \(A = l\times w\). For the first rectangle with length \(l = 11\ m\) and width \(w = 5\ m\), \(A_1=11\times5 = 55\ m^2\).

Step3: Calculate the area of the second rectangle

The length of the second - rectangle is \(l_2=10.7 - 5=5.7\ m\) and width \(w_2 = 5.6\ m\). So \(A_2=5.7\times5.6=31.92\ m^2\).

Step4: Calculate the total area of the garden

\(A = A_1+A_2=55 + 31.92=86.92\approx86.9\ m^2\).

Step5: Calculate the perimeter (fencing required)

The perimeter is the sum of the lengths of all the sides. \(P=11 + 5+5.6+(10.7 - 5)+5.6 + 5+(11-(5.6))=11+5 + 5.6+5.7+5.6+5 + 5.4=38.3\ m\).

Answer:

a) \(86.9\)
b) \(38.3\)