<h3>Answer:</h3>
Length: 12 yd
Width: 5.5 yd
<h3>Explanation:</h3>
Let x represent the width of the rectangle in yards. Then 2x+1 can represent the length (double the width plus 1 yard). The area is the product of length and width so we have the relation ...
... x(2x+1) = 66
... 2x² +x -66 = 0
This can be solved using any of several methods. One of them is to factor the equation. To do that, we can look for factors of 2·66 = 132 that differ by 1. Since 132 = 11·12, those are the numbers we're looking for. Then ...
... 2x² +12x -11x -66 = 0 . . . . use our found numbers to rewrite the x term
... 2x(x +6) -11(x +6) = 0 . . . . .factor by grouping
... (2x -11)(x +6) = 0
... x = 11/2 or -6 . . . . . values that make the factors zero. Only the positive value is a useful solution.
... The width of the rectangle is 5.5 yards. Its length is 2·5.5+1 = 12 yards,
Answer:
Here
perimeter=76
length =4a+5
breadth=2a-3
we know,
perimeter=2(length+breadth)
76=2(4a+5+2a-3)
76=2(7a+2)
76=14a+4
76-4=14a
72=14a
72÷14=a
a=5.14
Answer:
Step-by-step explanation:
Calculate the distance d using the distance formula
d = √ (x₂ - x₁ )² + (y₂ - y₁ )²
with (x₁, y₁ ) = (- 1, 4) and (x₂, y₂ ) = (6, - 2)
d = 
= 
= 
= ← exact distance
Answer:
<em>x</em>=28, <em>y</em>=12
Step-by-step explanation:
The squiggly symbol? This means the shapes/angles are congruent, meaning that if you rotated them around, they would match.
x's match runs along the same line as it's match, and same goes for y's. Imagine rotating around the lower triangle and lining it up with the upper triangle.
