Answer:
- x = 4
- length = 19 ft
- width = 11 ft
Step-by-step explanation:
The area is given by the product of length and width.
A = LW
209 = (4x +3)(4x -5)
209 = 16x^2 -8x -15
224 = 16x^2 -8x
You could rearrange and use the quadratic formula at this point, but we elect to "complete the square".
14 = x^2 -(1/2)x
14 +1/16 = x^2 -1/2x +(1/4)^2 . . . . . add the square of half the x-coefficient
(x -0.25)^2 = 14.0625
x = 0.25 ± 3.75 . . . . . . take the square root; add 0.25
Only positive values of x are useful here, so we have
x = 4
Then the dimensions are ...
length = 4x +3 = 4(4) +3 = 19 . . . feet
width = 4x -5 = 16 -5 = 11 . . . feet
Answer:
hypotenuse = 17.46
Step-by-step explanation:
The Pythagorean Theorem is a^2+b^2=c^2.
Since we are finding the hypotenuse, we must plug in 16 and 7 since they represent the lengths of both side.
16^2+7^2=c^2
256+49=c^2
305=c^2
which means we have to find the square root of c^2 AND 305, round it to the nearest hundredth, which means that;
c=17.46
Its the 3rd from the left good luck
Find the length of each side using the distance formula:, then add all three side length for the perimeter.
Area is found by multiplying the base by the height by 1/2.
See attached picture for the answer:
We know that Zoey can tile 1.25 square yards in 20 minutes (which is 1/3 of an hour) so we wanna see how much she can tile in an hour. Multiply 1.25 by 3.
1.25•3= 3.75 or 3 3/4