SAT II Math I : Area

Study concepts, example questions & explanations for SAT II Math I

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Example Questions

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Example Question #21 : Area

On the XY plane, line segment AB has endpoints (0, a) and (b, 0). If a square is drawn with segment AB as a side, in terms of a and what is the area of the square?

Possible Answers:

Cannot be determined

Correct answer:

Explanation:

Since the question is asking for area of the square with side length AB, recall the formula for the area of a square.

Now, use the distance formula to calculate the length of AB.

let 

Now substitute the values into the distance formula.

From here substitute the side length value into the area formula.

 

Example Question #21 : Geometry

Give the area of  to the nearest whole square unit, where:

Possible Answers:

Cannot be determined

Correct answer:

Explanation:

The area of a triangle, given its three sidelengths, can be calculated using Heron's formula:

,

where , and  are the lengths of the sides, and .

Setting, , and ,

and, substituting in Heron's formula:

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