Word Problems Worksheet - Regional Professional Development Program Page 31

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Southern Nevada
Regional Professional Development Program
Set 23
1) A scalene triangle has side lengths that are prime numbers. Its perimeter is also a
prime number. What is the smallest possible perimeter that meets these conditions?
2) The length and width of a rectangular picture with dimensions 4 inches by 6 inches
are each doubled. What is the area of the new picture?
3) An angle bisector is a ray that divides a larger angle
into two congruent (equal) angles. Given
=
° is bisected by ray HJ . What are
m GHF
150
the measures of
GHJ
and JHF
?
4) A square has an area of 144 square inches. What is the length of the side of the
square?
5) A square has an area of 90. Between what two integers is the length of the side of the
square?
6) The Pythagorean Theorem is used on with right triangles. The
figure shown is a proof of the Pythagorean Theorem which says
that the sum of the areas of the squares on the two legs of a
right triangle is equal to the area of the square on the
hypotenuse. If the legs of the right triangle shown are 1 cm and
2 cm in length. What is the area of the square on the
hypotenuse?
7) What if the area of the square on the hypotenuse is 100 square units and the area of
one of the squares on the legs is 36 square units? What is the area of the square on
the other leg?
8) The area of the square on the hypotenuse is 25. What is the length of the hypotenuse?
9) Two square numbers have a sum of 100. What are they?
10) The central angle of a circle has a measure of 45 ° . What fractional part of the circle
is this?

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