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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

## Plane and Solid Geometry

Arthur Schultze, Frank Louis Sevenoak - Geometry - 1902 - 370 pages
...Find the ratio of the areas of the two rectangles. 166 AREAS OF POLYGONS PROPOSITION III. THEOREM 339. The area of a rectangle is equal to the product of its base and altitude. R 1 u Hyp. R is a rectangle with base b and altitude a. To prove area of R = ax...

## Elements of Plane Geometry

Alan Sanders - Geometry, Plane - 1901 - 247 pages
...the first rectangle is 20 sq. ft., as that has not yet been established.] PROPOSITION V. THEOREM 586. The area of a rectangle is equal to the product of its base and altitude. AD Let ABCD be any rectangle. To Prove ABCD = ax 6. Proof. Let the square U, each...

## A Textbook on Sheet-metal Pattern Drafting, Volume 1

Metal-work - 1901
...found in this manner; hence, we have the following general statement: xJIJ. Area of 11 Kectiuigle. — The area of a rectangle is equal to the product of its base and altitude. This is called a general statement, because it is true for all rectangles. This...

## Modern Commercial Arithmetic

Frank Joseph Schneck - Business mathematics - 1902 - 299 pages
...and three or more sides that are parallelograms, is a Prism. TRIANGULAR PRISM RECTANGULAR PRISM 212. The area of a rectangle is equal to the product of its length and breadth. 213. A rectangular prism that is one unit high has a volume equal to the product of its length and...

John Williston Cook, Nebraska C. Cropsey - Arithmetic - 1903 - 327 pages
...64. The number of square units in a rectangle is called its area. From the above it is evident that the area of a rectangle is equal to the product of its length and width. The length and width are called the two dimensions of the rectangle. 65. The area of a rectangle...

## School Algebra

John Marvin Colaw - Algebra - 1903 - 432 pages
...equal to the subtrahend. 58. The product divided by the multiplier is equal to the multiplicand. 59. The area of a rectangle is equal to the product of its base by its altitude. 60. The area of a circle is equal to the square of its radius multiplied by w....

## Elements of Plane and Solid Geometry

Alan Sanders - Geometry - 1903 - 384 pages
...the first rectangle is 20 sq. ft., as that has not yet been established.] PROPOSITION V. THEOREM 586. The area of a rectangle is equal to the product of its base and altitude. BC D Let ABCD be any rectangle. To Prove ABCD = axb. Proof. Let the square U, each...

## Mathematics, mechanics, heat

...that is, B ~ tf Multiplying equations (1) and (2), we have A a X b B ~ a' x V THEOREM 1 XIII. 1 94. The area of a rectangle is equal to the product of its base and altitude. iL Let a and b be the numerical measures of the altitude and base of the rectangle...