A rectangular driveway is 12 meters longer than it is wide. Its area is 1260 m2. How do you determine its dimensions?
Assume the width is x and the length
The formula for area of a rectangle is
We can solve by factoring. It is a trinomial of the form
Two such numbers are +42 and -30.
Since a negative width is impossible the width is 30 meters. By simple arithmetic, we find that the length is 42 meters. Thus, the driveway is
In a right triangle the hypotenuse measures two less than the double of the shorter leg. The longer leg measures two more than the shorter leg. Find the perimeter of the triangle.
The perimeter of a square is equal to the area of a rectangle. The width of the rectangle measures half the side length of the square. The length measures double the side length of the square. Find the area of the square.
Let the width be
Let the length be
But area given as
We are lookin for two number that when multiplied together give 1260 but they are also 12 apart from each other. A good starting point will be to look at
1260 ends in a zero so one of the factors end in 0 of 5
Consider 35x36=1260...difference 1 so no good
Come down 5
Consider 30x42=1260..differtence is 12. Got it!