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THE NEW STUDENT'S REFERENCE WORK

2209

42.

Find the square root:

1.  38809

2.  75076

3. 142129

4. 207025

5. 310249

11.   A square hall contains 4096 sq. ft. What will it cost to put a paper border around it at $.37 a yard?

12.   At $.48f a foot, what is the cost of fencing a square field containing 5476 sq. rd.?

13.   The   area  of   a  square  field  is   654481   sq. ft. What is  its perimeter ?

14.   How many yards of curbing are required for a park containing 26244 sq. ft.?

15.   A rectangular surface is 64 rd. by 81 rd. What are the dimensions of a square field containing the same area?

16.   A rectangular lot is 648 yd. long and 162 yd. wide. Find the distance around an equivalent square lot.

17.   What will it cost at $1.87-| a rod to build a fence around a square field whose area is 15f A. ?

18.   How much more will it cost to fence a rectangular field 216 rd. long arid 24 rd. wide, than a square field of the same area at $2.25 a rod?

RIGHT TRIANGLE.

A right triangle is a triangle containing a right angle.

The hypotemise is the side opposite the right angle. It is the longest side. The other two sides forming the right angle are called the base and perpendicular,

Draw a right triangle with the base 3 in. and perpendicular 4 in. The hypotenuse will be 5 in.

On each side of the triangle, draw a square, and divide each square into square inches. How does the number of units in the square of the hypotenuse compare with the number of units in the sum of the squares of the other two sides?

Learn—In any right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

6. 430336

7. 589824

8. 788544

9. 824464, 10.    998001