QUESTION IMAGE
Question
the floor of tatiannas basement has the dimensions shown.
what is the area of the basement floor? round to the nearest hundredth if necessary.
$\square$ $yd^2$
Step1: Split shape into two rectangles
We can divide the figure into a left tall rectangle and a right short rectangle.
Step2: Find width of right rectangle
Calculate the horizontal length of the right rectangle:
$15.5 - 9.5 = 6$ yd
Step3: Find height of left rectangle
The vertical height of the left rectangle is:
$7.25 - 4.25 = 3$ yd
Step4: Calculate area of left rectangle
Area = length × width:
$9.5 \times 7.25 = 68.875$ yd²
Step5: Calculate area of right rectangle
Area = length × width:
$6 \times 4.25 = 25.5$ yd²
Step6: Sum the two areas
Add the areas of the two rectangles:
$68.875 + 25.5 = 94.375$
Step7: Round to nearest hundredth
Round the total area to two decimal places:
$94.375 \approx 94.38$
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$94.38$ yd²