Question

Toni and Missy have rectangular-shaped vegetable gardens. The width of Missy’s garden is double the width of Toni’s garden. The area of Missy’s garden is the same as that of Toni’s garden. Which statement is true?

a) The length of Missy’s garden is double the length of Toni’s garden.

b) Missy’s garden has the same length as Toni’s garden.

c) The length of Missy’s garden is one-half of the length of Toni’s garden.

d) Missy’s garden has the same perimeter as Toni’s garden.

Answer 1

The area of Missy’s garden is the same as that of Toni’s garden.\[w_ML_M\text{ = }w_TL_T \]The width of Missy’s garden is double the width of Toni’s garden. \[w_M=2 w_T \]\[2 w_TL_M=w_TL_T \]\[2 L_M=L_T \]\[L_M=\frac{L_T}{2} \]

Answer 2

c) The length of Missy’s garden is one-half of the length of Toni’s garden.

Answer 3

thanks