A lawn is 33.21 m long and 17.6 m wide.

a. what length of fence must be purchased to enclose the entire lawn?

b. what area must be covered if the lawn is to be fertilized?

We are task to find the length of the fence required to enclose the entire lawn and the area to be covered so that lawn can be fertilized. To solve this, we are given only the sides of lawn which are 33.21 m and and 17.6 m. We assume that it is a rectangle since the sides are of different sizes.

For the first problem, we can solve the length of the fence by using the perimeter formula. Perimeter of a rectangle is equal to the sum of each side. For the rectangle, we have two sides of length 33.21 which is equal to 66.42 and two sides for the width having 17.6 m which is equal to 35.2. The sum of the 4 sides of the lawn equals to 101.62 m (35.2+66.42). Hence, 101.62 m is the length of fence required to be purchased to enclose the entire lawn.

For the second problem, we can use the area of rectangle to solve this. That is, Area of the rectangle is equal to the product of its sides.

Simply, Area = (17.6*33.21) = 584.496 square meter. Hence, 584.496 square meter is required to be covered if it is to be fertilized.