Question

complete the sentences describing the banquet hall. the perimeter of the stage is 144 feet. the area of the dining section is square feet.

Explanation:

Step1: Analyze the grid units

Assume each grid unit is 4 feet. For the dining - section (trapezoid - like shape). The formula for the area of a trapezoid is \(A=\frac{(a + b)h}{2}\).

Step2: Determine the lengths of the parallel sides and the height

The top - parallel side \(a=(32 - 8)=24\) units. The bottom - parallel side \(b=(40 - 8)=32\) units. The height \(h=(56 - 8)=48\) units. Since each unit is 4 feet, \(a = 24\times4=96\) feet, \(b = 32\times4 = 128\) feet, \(h=48\times4=192\) feet.

Step3: Calculate the area using the trapezoid formula

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Answer:

2,256