A school wants to build a rectangular playground that will have a diagonal length of 75 yards. How wide can the playground be if
1 answer:
You might be interested in
Answer:
Step-by-step explanation:
The area of a trapezium is given as;
Area = (a + b)h
where: a is the length of the upper side, b is the length of its base and h is its height.
This implies that; a = x - 4, b = x + 5, h = 2x and area = 351
Thus,
351 = ((x - 4) + (x + 50)) 2x
= (x - 4 + x + 5) x
531 = (2x + 1) x
= 2 + x
So that;
2 + x - 531 = 0
This gives a quadratic equation.
First we need to find the slope of line k. Using the slope formula, we fill in accordingly: 
. The slope is -3/2. The slope of a line that is perpendicular to line k will have the opposite sign (so, positive) and will be the reciprocal of the line k's slope (so, 2/3). You could also say, more "mathematically legal", that the product of the slopes of perpendicular lines is -1, but it's easier to just say that they are opposite reciprocals. The slope you're looking for is 2/3. Choice 3 above.