Two the edges of Mae's rectangular lawn measure 7 metres.Which one of the following further pieces of information about Mae's lawn would not be sufficient by itself to determine how long the other two sides are?
Correct answer: D. The perimeter of the lawn is 19.2 metres
- A. The area of the lawn in square metres is numerically equal to its perimeter in metres
- B. The length of the lawn is 2.5 times its width
- C. The mean of the length and the width of the lawn is 4.8 metres
- D. The perimeter of the lawn is 19.2 metres
Explanation
The correct answer is Option D. Knowing only the perimeter does not provide enough information to determine the exact dimensions of the lawn. A rectangle can have multiple length and width combinations that result in the same perimeter, so without additional information, the dimensions cannot be uniquely determined.Option A gives a specific equation that relates the area and perimeter, which can be used to solve for the dimensions. Option B provides a ratio between the length and width, allowing you to find both dimensions when one is known. Option C provides the mean of the length and width, which can be combined with the known side measurement to determine the other side.
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Scientific reasoning evaluates hypotheses through observations, variables, controls, measurements and experimental results. Questions involve identifying independent and dependent variables, recognising a fair test, interpreting tables or graphs, distinguishing evidence from opinion, and deciding whether data supports, rejects or leaves a hypothesis unresolved.
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