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" The area of a rectangle is equal to the product of its base and altitude. Given R a rectangle with base b and altitude a. To prove R = a X b. Proof. Let U be the unit of surface. .R axb U' Then 1x1 But - is the area of R. "
A Treatise on Mensuration, Both in Theory and Practice - Page 91
by Charles Hutton - 1788 - 703 pages
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Plane Geometry

John Charles Stone, James Franklin Millis - Geometry - 1916 - 278 pages
...measures can be expressed only approximately, although the proof is not attempted in this course. That is, The area of a rectangle is equal to the product of its altitude and base. 211. Corollary l. — The area of a square is equal to the square of its side. For,...
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Plane and Solid Geometry

William Betz - Geometry - 1916 - 507 pages
...the measurements are taken in inches? in yards? AREAS OF SIMPLE FIGURES 321. Fundamental Principle. The area of a rectangle is equal to the product of its base and altitude. Thus if a and 6 are the altitude and base respectively of the rectangle whose area...
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Plane Geometry

Edith Long, William Charles Brenke - Geometry, Plane - 1916 - 276 pages
...theorem proved. Exercise. Find the ratio of the rectangles whose dimensions are: 252. Theorem iII. The area of a rectangle is equal to the product of its base by its altitude. Note. By this we mean that the number of square units in the area is equal to...
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Plane Geometry

Edith Long, William Charles Brenke - Geometry, Plane - 1916 - 276 pages
...theorem proved. Exercise. Find the ratio of the rectangles whose dimensions are: ' 252. Theorem III. The area of a rectangle is equal to the product of its base by its altitude. Note. By this we mean that the number of square units in the area is equal to...
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First Book in General Mathematics

Mathematics - 1917 - 257 pages
...an area of one square foot is equivalent to a square which is one square foot in area. 131. Theorem: The area of a rectangle is equal to the product of its base by its altitude. Given : RECT is a rectangle, m units in length and n units in width. To Prove:...
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Efficiency Arithmetic, Book 2

Charles Ernest Chadsey - 1917 - 48 pages
...the number of squares in one row by the number of rows. This is often expressed in the shorter form: The area of a rectangle is equal to the product of its base and altitude. 1 Exercise 2 1. The length of a blackboard is 12 feet and its width is 4 feet. What...
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Elementary Mathematical Analysis

John Wesley Young, Frank Millett Morgan - Functions - 1917 - 548 pages
...prove that (a • 6) • c = o • (6 • c), when a, 6, c are positive integers. 4. Assuming that the area of a rectangle is equal to the product of its base by its altitude, show that ab = ba, when a, b are any positive real numbers. 5. By considering...
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Elementary Algebra

Elmer Adelbert Lyman, Albertus Darnell - Algebra - 1917 - 503 pages
...the area, and a and ij are its two dimensions. Hence this formula is an abbreviation for the rule : The area of a rectangle is equal to the product of its two dimensions. EXERCISE 188. Express each of the following formulas as rules : 1. C= 2irf, where С...
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Plane Geometry: With Problems and Applications

Herbert Ellsworth Slaught, Nels Johann Lennes - Geometry, Plane - 1918 - 310 pages
...only approximately. We then have : ill t 1 F^P l::i•. B-— AREA OF A RECTANGLE 406. THEOREM I. The area of a rectangle is equal to the product of its base and altitude. Proof. In case the sides of the rectangle are commensurable, the theorem is proved...
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Junior High School Mathematics: First [-third] Course, Book 2

William Ledley Vosburgh, William Frederick Gentleman - Mathematics - 1918
...14V, s 18. p = 45f, s 19. p = 3' 4", s = ? = ? = ? = ? = ? 21. Write the formula for the statement : The area of a rectangle is equal to the product of its base and height. (Use A, b and h.) For Exs. 22-39 use formula of Ex. 21. Write down an estimate for...
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