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Vaselesa [24]
3 years ago
6

a bedroom is 15 ft long and 12 ft wide. How much will it cost to carpet the room if carpeting costs $22 per square yard? (1 yd =

3 ft) need help on the process pls!
Mathematics
1 answer:
Travka [436]3 years ago
3 0

The carpenting cost for bedroom is $ 440

<h3><u>Solution:</u></h3>

Given that a bedroom is 15 feet and 12 feet wide

Also carpeting costs $22 per square yard

<em><u>To find: cost to carpet the room</u></em>

The cost to carpet the room is calculated by multiplying area of bedroom by carpenting cost

Since bedroom is generally of rectangular shape, we can use area of rectangle formula

<em><u>The area of rectangle is given as:</u></em>

\text {Area of rectangle }=\text { length } \times \text { width }

Here length = 15 feet and width = 12 feet

\text {Area of rectangle }=15 \times 12=180

Thus area of bedroom is 180 square feet

<em><u>Let us convert feet to yards</u></em>

Given that 1 yard = 3 feet

1 \text { feet }=\frac{1}{3} \text { yard }

180 \text { square feet }=180 \mathrm{feet}^{2}

\begin{array}{l}{180 \text { feet }^{2}=180 \times \frac{1}{3} \times \frac{1}{3} \text { yard }^{2}} \\\\ {180 \text { feet }^{2}=20 \text { yard }^{2}}\end{array}

<em><u>Calculating carpenting cost:</u></em>

\text {carpenting cost }=\text { area of bedroom } \times \text { cost per square yard }

\begin{array}{l}{\text { carpenting cost }=20 \times 22} \\\\ {\text { carpenting cost }=\$ 440}\end{array}

Thus the carpenting cost for bedroom is $ 440

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