Question

1. patricia is planning to plant grass over an old rectangular garden plot in her backyard. she paced around the plot to find the dimensions to be 7 paces by 10 paces. she estimated that each pace is approximately 2.5 feet. a. draw a diagram of the garden plot with dimensions. b. estimate the area of the old garden plot. round to the nearest square foot. c. if grass seed is sold in 1 kg bags that cover approximately 200 square feet, estimate how many bags patricia should purchase for her project. note: patricia cannot buy partial bags.

Explanation:

Step1: Convert paces to feet for length and width

Length in paces is 10, and since 1 pace = 2.5 feet, length $l=10\times2.5 = 25$ feet. Width in paces is 7, so width $w = 7\times2.5=17.5$ feet.

Step2: Draw the rectangle

Draw a rectangle. Label the longer - side as 25 feet (length) and the shorter - side as 17.5 feet (width).

Step3: Calculate the area of the rectangle

The area formula for a rectangle is $A=l\times w$. Substitute $l = 25$ feet and $w = 17.5$ feet into the formula: $A=25\times17.5 = 437.5\approx438$ square feet.

Step4: Determine the number of bags

Divide the total area by the area covered by one bag. Let $n$ be the number of bags. $n=\frac{438}{200}=2.19$. Since Patricia cannot buy partial bags, she needs to buy 3 bags.

Answer:

a. Draw a rectangle with length 25 feet and width 17.5 feet.
b. 438 square feet
c. 3 bags