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The perimeter of a rectangular metal plate is 15 cm. Find the length of the rectangular plate (in decimals) whose width is 228 cm. Use estimation in tenths place.

The perimeter of a rectangular metal plate is 15 cm. Find the length of the rectangular-example-1
User Farway
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1 Answer

5 votes

The Solution.

Representing the problem in a diagram, we have

By formula,


P=2(L+W)

In this case,


P=15\operatorname{cm},L=?,W=(22)/(8)cm

Substituting these values in the formula above, we get


15=2(L+(22)/(8))

Clearing the bracket, we get


15=2L+(2*(22)/(8))
\begin{gathered} 15=2L+(11)/(2) \\ \\ 15=2L+5.5 \end{gathered}
\begin{gathered} 15-5.5=2L \\ 9.5=2L \end{gathered}

Dividing both sides by 2, we get


L=(9.5)/(2)=4.75\approx4.8\operatorname{cm}

Therefore, the correct answer is option C.

The perimeter of a rectangular metal plate is 15 cm. Find the length of the rectangular-example-1
User Sdduursma
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3.8k points