Question

My Report card come in Tuesday and I need gud grades or it counts as 0

Answer 1

Option D

`15(1)/(3)\text{ X 8}(1)/(2)`

Step-by-step explanation

Given:

`\begin{gathered} \text{The length }of\text{ the garden = 7}(2)/(3) \\ \text{Width of the garden = 4}(1)/(4) \end{gathered}`

Note: To double the dimensions of the garden means to double both length and width of the garden.

Double the Length

`\begin{gathered} 7(1)/(3)\text{ + 7}(1)/(3) \\ (23)/(3)+(23)/(3) \\ \text{ find the LCM} \\ \frac{23\text{ + 23}}{3} \\ (46)/(3) \\ =\text{ 15}(1)/(3) \end{gathered}`

Double the Width

`\begin{gathered} 4(1)/(4)+\text{ 4}(1)/(4) \\ =\text{ }(17)/(4)+\text{ }(17)/(4) \\ \text{ Find the LCM} \\ =\text{ }\frac{17\text{ + 17}}{4} \\ \text{ = }(34)/(4) \\ \text{ = 8}(1)/(2) \end{gathered}`

Hence, the dimensions of the garden if the garden is double is:

`15(1)/(3)\text{ X 8}(1)/(2)`