Question

blanca rivera is purchasing the piece of velveteen that is pictured in the diagram below. the fabric costs $11.83 per sq ft. question 1: what is the area of the velveteen in square inches? square inches question 2: to the nearest ten dollars, how much will the piece of velveteen cost? $

Explanation:

Step1: Split shape into two rectangles

We can divide the figure into a left smaller rectangle and a right larger rectangle.
Left rectangle: length = 27 in, width = 20 in
Right rectangle: length = 36 in, width = 49 in

Step2: Calculate area of left rectangle

Area = length × width
$\text{Area}_1 = 27 \times 20 = 540$ square inches

Step3: Calculate area of right rectangle

Area = length × width
$\text{Area}_2 = 36 \times 49 = 1764$ square inches

Step4: Total area in square inches

Add the two areas together
$\text{Total Area (sq in)} = 540 + 1764 = 2304$

Step5: Convert area to square feet

Since 1 square foot = 144 square inches:
$\text{Total Area (sq ft)} = \frac{2304}{144} = 16$ square feet

Step6: Calculate total cost

Cost = Area (sq ft) × cost per sq ft
$\text{Total Cost} = 16 \times 11.83 = 189.28$

Step7: Round to nearest ten dollars

$189.28$ rounded to the nearest ten is $190$

Answer:

Question 1: 2304 square inches
Question 2: $190$