Question

the company needs square yards of carpet to cover the floor.

Explanation:

Step1: Calculate the area of the rectangle

The formula for the area of a rectangle is \(A = l\times w\). Here, \(l = 10\) yd and \(w=6\) yd.
\(A_{rectangle}=10\times6 = 60\) square yards.

Step2: Calculate the area of the triangle

The formula for the area of a triangle is \(A=\frac{1}{2}\times b\times h\). Here, \(b = 6\) yd and \(h = 4\) yd.
\(A_{triangle}=\frac{1}{2}\times6\times4= 12\) square yards.

Step3: Calculate the total area

Add the area of the rectangle and the area of the triangle.
\(A_{total}=A_{rectangle}+A_{triangle}=60 + 12\)

Answer:

\(72\)