Answer:
height = 5 ft
Step-by-step explanation:
The height will divide the base of the triangle in two parts of 3 ft, making two smaller right triangles.
Then, to find the height, we can use the Pythagoras' theorem in one of these triangles:
6^2 = 3^2 + height^2
36 = 9 - height^2
height^2 = 27
height = 5.19 ft
Rounding to the nearest foot, we have height = 5 ft
Answer: 33 math problems.
Step-by-step explanation:
Let x = Number of math problems
y= Number of history problems
According to the question , we have

We can rewrite (i) as
(iii)
Now, subtract (iii) from (ii), we get

Put this in (i), we get

Hence, you have to complete 33 math problems.
Let the width be x.
Width = x
Length = 4x + 7
The area is 650 m²
x(4x + 7) = 650
4x² + 7x - 650 = 0
Using quadratic formula:

a = 4, b = 7, c = -650


Width = 11.9m
Length = 4(11.9) + 7 = 54.6m
Answer: Length = 54.6m and width = 11.9m