Using the side of the square find the area:
Area = 30^2 = 900 square feet.
The rectangles area is the same, 900 square feet.
Let the width = X
The length would be 2X + 70
Area = length x width
X * 2x+ 70 = 900
This expands to 2x^2 * 70x = 900
Use the quadratic formula to solve for x:
-70 +/- sqrt(70^2-4*2(-900))/2*2
X = 10
Width = x = 10 feet
Length = 2x + 70 = 90 feet
Call the number : x
(1/3)x + 5 = x-6
=> (1/3)x + 5 - (x-6) = 0
=> (1/3)x + 5 - x + 6 = 0
Group (1/3)x with -x, 5 with 6
=> [(1/3)x - x] + (5+6) = 0
=> (-2/3)x + 11 = 0
=> (-2/3)x = -11
=> x = -11 : (-2/3) = 33/2.
Recheck : 1/3 x 33/2 + 5 = 33/6 + 5 = 63/6 = 21/2
33/2 - 21/2 = 12/2 = 6 (21/2 is 6 less than 33/2, satisfied.)
-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-
Answer:
So, coordinate of intersection point = (2,0)
Explanation:
Given a triangle DCE whose coordinate of the vertex are :
D(−4, 0), C(0, −2), and E(5,3)
We will find the equation of CE
Firstly find the slope of CE
Slope (m) = 
m = 
= 1
Equation of line is :
y - y₁ = m(x - x₁)
y - (-2) = 1(x-0)
y + 2 = x equation of CE
Find the intersection point of CE and x-axis
Put y = 0 to find the x-intercept
0 + 2 = x
x = 2
So, coordinate of intersection point = (2,0)
Ratios shall be used
Selling 3x as many tie-dyed as silk is the equivalent of ratio 3:1 (Three tie dies for 1 silk)
Add up the total numbers in the ratio (By that I mean 3 + 1) to get 4
Divide the total number sold by 4 to get 42
Multiply 42 by 3 (The number of tie dyes sold in the ratio) to get 126
126 tie-dyed shirts were sold
