MathDB

18

Part of 2008 AMC 10

Problems(2)

Perimeter and Area of Right Triangle

Source: AMC 10 2008A Problem 18

2/22/2008
A right triangle has perimeter 32 32 and area 20 20. What is the length of its hypotenuse? <spanclass=′latex−bold′>(A)</span> 574<spanclass=′latex−bold′>(B)</span> 594<spanclass=′latex−bold′>(C)</span> 614<spanclass=′latex−bold′>(D)</span> 634<spanclass=′latex−bold′>(E)</span> 654 <span class='latex-bold'>(A)</span>\ \frac{57}{4} \qquad <span class='latex-bold'>(B)</span>\ \frac{59}{4} \qquad <span class='latex-bold'>(C)</span>\ \frac{61}{4} \qquad <span class='latex-bold'>(D)</span>\ \frac{63}{4} \qquad <span class='latex-bold'>(E)</span>\ \frac{65}{4}
geometryperimeterAMC
Bricklayers

Source: AMC 12 2008B Problem 10

2/29/2008
Bricklayer Brenda would take 9 9 hours to build a chimney alone, and bricklayer Brandon would take 10 10 hours to build it alone. When they work together they talk a lot, and their combined output is decreased by 10 10 bricks per hour. Working together, they build the chimney in 5 5 hours. How many bricks are in the chimney? <spanclass=′latex−bold′>(A)</span> 500<spanclass=′latex−bold′>(B)</span> 900<spanclass=′latex−bold′>(C)</span> 950<spanclass=′latex−bold′>(D)</span> 1000<spanclass=′latex−bold′>(E)</span> 1900 <span class='latex-bold'>(A)</span>\ 500 \qquad <span class='latex-bold'>(B)</span>\ 900 \qquad <span class='latex-bold'>(C)</span>\ 950 \qquad <span class='latex-bold'>(D)</span>\ 1000 \qquad <span class='latex-bold'>(E)</span>\ 1900
AMC