Question

directions: read the question, and choose the best answer.

1. kirsten sewed a tablecloth in the shape shown below. what is the area of her tablecloth in square feet?

a. 26
b. 40
c. 47.9
d. 59.625

Explanation:

Step1: Calculate the area of the rectangle

The formula for the area of a rectangle is \(A = l\times w\). Here, \(l = 8\) ft and \(w=5\) ft. So, \(A_{rectangle}=8\times5 = 40\) square - feet.

Step2: Calculate the area of the two - semicircles (which form a full circle)

The diameter of the circle \(d = 5\) ft, so the radius \(r=\frac{d}{2}=\frac{5}{2}=2.5\) ft. The formula for the area of a circle is \(A=\pi r^{2}\). Using \(\pi\approx3.14\), we have \(A_{circle}=3.14\times(2.5)^{2}=3.14\times6.25 = 19.625\) square - feet.

Step3: Calculate the total area of the tablecloth

The total area \(A = A_{rectangle}+A_{circle}\). So, \(A=40 + 19.625=59.625\) square - feet.

Answer:

D. 59.625