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Question
park be more than or less than the original area of the park, 90 square yards. estimate for the new area of the park?4 yd8 yd9 ydthe new area of the park would be 90 square yards.less thanmore thana good estimate for the new area of the park would be about square yards.
Step1: Estimate total width
The total original width is $4 + 8 = 12$ yd.
Step2: Find original full area
The original full rectangle area is $12 \times 9 = 108$ square yards.
Step3: Estimate removed area
The removed section is about half of a $4 \times 9$ rectangle: $\frac{1}{2} \times 4 \times 9 = 18$ square yards.
Step4: Calculate new estimated area
Subtract removed area from original: $108 - 18 = 90$ square yards.
Step5: Compare to 90 sq yd
The new area equals 90, but since the removed part is less than half, it is slightly more? Correction: The irregular removed part is less than a full $4×9$ rectangle. The original full area is 108. If we take the removed area as less than 18, new area is more than $108-18=90$.
Corrected Step3: Removed area is less than $18$ sq yd.
Corrected Step4: New area $> 108 - 18 = 90$ sq yd.
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The new area of the park would be more than 90 square yards.
A good estimate for the new area of the park would be about 95 square yards (or a value between 90 and 108, e.g., 95 is a reasonable estimate).