Simon and Jane have rectangular-shaped vegetable gardens. The width of Jane’s garden is double the width of Simon’s garden. The area of Jane’s garden is 4 times that of Simon’s garden. Which statement is true?
Answer
Jane’s garden has the same perimeter as Simon’s garden.
The length of Jane’s garden is double the length of Simon’s garden.
The perimeter of Jane’s garden is four times that of Simon’s garden.
The length of Jane’s garden is four times the length of Simon’s garden.

Question

Simon and Jane have rectangular-shaped vegetable gardens. The width of Jane’s garden is double the width of Simon’s garden. The area of Jane’s garden is 4 times that of Simon’s garden.  Which statement is true?
Answer
		Jane’s garden has the same perimeter as Simon’s garden.
		The length of Jane’s garden is double the length of Simon’s garden.
		The perimeter of Jane’s garden is four times that of Simon’s garden.
		The length of Jane’s garden is four times the length of Simon’s garden.

anonymous · Answer

The length of Jane’s garden is double the length of Simon’s garden.

anonymous · Answer

Taking the length and width of Simons garden be x and y.
Simons area would be xy.
Jane's garden width would be 2x.
jane's area would be 4xy (since it states janes garden is 4 times simon's)
so jane's length would be 4xy/2x = 2y.
Meaning:
The length of Jane’s garden is double the length of Simon’s garden.

mertsj · Answer

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