Question

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1. a worker charges $70 per square foot to install windows. how much does it cost to install the window shown?

2.5 ft
2.5 ft
1 ft
3.5 ft
$square
grade 6: mrl cc>chapter 7>7.1-7.3 quiz> question #6

Explanation:

Step1: Find height of trapezoid

The vertical height of the trapezoid is $2.5 - 1 = 1.5$ ft.

Step2: Calculate window area (trapezoid)

Use trapezoid area formula: $\text{Area} = \frac{1}{2} \times (\text{sum of parallel sides}) \times \text{height}$
$\text{Area} = \frac{1}{2} \times (2.5 + 3.5) \times 1.5$
$\text{Area} = \frac{1}{2} \times 6 \times 1.5 = 4.5$ square feet

Step3: Calculate total installation cost

Multiply area by cost per square foot: $\text{Cost} = 4.5 \times 70$

Answer:

$315$