LESSON THIRTY-FIRST.
REVIEW.
Draw a rectangle of any width whose length is three times the width.
How many squares has it if the width be taken as the unit?
Make it twice as wide as before.
How many squares has it now?
What two numbers multiplied together will give the number of squares?
Make it three times as wide.
How many squares has it now?
What two numbers multiplied together will give the number of squares?
The cover of a geography is one foot long and one foot wide, how many square feet in it?
How many inches long is the same cover? How many wide?
How many square inches does it contain?
How many square inches are equal to one square foot?
A table is one yard long and one yard wide, how many square yards in it?
How many feet long is the same table?
How many feet wide?
How many square feet does it contain?
One square yard equals how many square feet?
Draw a square whose side is a unit of any length.
Draw another whose side is two units of the same length.
The second square is how many times as large as the first one?
How many squares in half the second square?
Which is greater, two square inches, or two inches square?
Two inches square is how many times two square inches?
Draw a square whose side is three inches.
How many square inches does it contain?
How many times as many squares as the square of one inch?
How many square inches in the bottom row?
How many in all?
Which is greater, three inches square, or three square inches?
Three inches square is how many times three square inches?
PROBLEMS.
An equilateral triangle has each of its sides one inch long, what is its perimeter?
If each side were two inches long, what would be its perimeter?
An isosceles triangle has its two equal sides each three inches long, and its third side five inches long, what is its perimeter?
A right-angled isosceles triangle has its base five inches, and its hypothenuse seven inches long, what is its perimeter?
A square geography-cover is nine inches long on one side, how long all round?
How many square inches in it?
A slate is sixteen inches long and twelve wide, how many inches all round it?
A rectangle is five inches long and three wide, how long all round?
How many square inches in it?
A slate is one foot long and eight inches wide, what is its perimeter?
A room is twenty-four feet long and twenty-one feet wide, how many feet all round it?
How many square feet in the floor?
How many pieces of paper each a foot square would exactly cover it?
A yard of carpet is two feet wide, how many square feet in it?
Charles and Henry start from the same place, and walk in opposite directions; Charles goes twenty yards, and Henry fifteen, how many yards apart are they?
If they start from opposite ends of a straight walk twenty-five feet long, and walk towards each other, how many feet will Charles have to walk to meet Henry who has walked fifteen feet?
A lot is forty rods long and thirty wide, how long must the fence be?
What length of fence will divide it into four equal parts?
Diagram 24.