Question 1

The perimetre of a rectangle is 38cm length is 12.5, What is the Area?..

Question 2

It’s 81.25 you multiple 38 by 12.5

Question 3

Answer:

$\boxed{\mathtt{Area = 81.25cm^(2)}}$

Explanation:

$\textsf{For this problem, we are asked to solve for the \underline{Area} of a Rectangle.}$

$\textsf{We are given the \underline{Perimeter}, and the \underline{Length}.}$

$\textsf{We should begin by identifying the formulas for Perimeter and Area.}$

$\mathtt{Perimeter = Length + Length + WIdth + Width}$

$\mathtt{Area = Length * Width}$

$\textsf{Because we're given the Perimeter and the Length, we can identify the Width.}$

$\large\underline{\textsf{Substitute:}}$

$\mathtt{38 cm = 12.5 + 12.5 + Width + Width}$

$\large\underline{\textsf{Combine Like Terms:}}$

$\mathtt{38 cm = 25 cm+ 2(Width)}$

$\large\underline{\textsf{Subtract 25 from both sides:}}$

$\mathtt{13 cm = 2(Width)}$

$\large\underline{\textsf{Divide By 2:}}$

$\mathtt{6.5 cm = Width}$

$\textsf{Now that we know the Width, we can identify the Area.}$

$\large\underline{\textsf{Substitute:}}$

$\mathtt{Area = 12.5 cm * 6.5cm}$

$\boxed{\mathtt{Area = 81.25cm^(2)}}$

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