Question

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

Answer 1

It’s 81.25 you multiple 38 by 12.5

Answer 2

`\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)}}`