is a square, so it has four equal sides, so the width is 5x + 2 long and the lenght is also 5x + 2 long, so length*width, namely the area will be,
Answer:
Length = 9units
Width = 7units
Step-by-step explanation:
It is said that the length is 2units more than the width
Assume that the width is x, then the length will be 2 + x
ie
Width = x
Length = 2 + x
Area of the rectangle = 63units
Area of rectangle = l * b
l - length of the rectangle
b - width of the rectangle
A = l * b
63 = (2 + x) * x
63 = ( 2 + x) x
63 = 2x + x^2
Let's rearrange it
x^2 + 2x - 63 = 0
Let's find the factor of 63
A factor that can be multiplied to give -63 and that can be added to give +2
Let's use -7 and +9
x^2 - 7x + 9x - 63 = 0
Separate with brackets
( x^2 - 7x) + ( 9x - 63) = 0
x( x - 7) + 9(x - 7) = 0
( x + 9)(x - 7) = 0
( x + 9) = 0
( x - 7) = 0
x + 9 = 0
x = -9
x - 7 = 0
x = 7
Note: the length of a rectangle can not be negative
So therefore,
x = 7
Length = 2 + x
= 2 + 7
= 9units
Width = x
= 7units
59 = j + 29
59-29=j+29-29
30 = j
(or you could rewrite it as j=30)
hope this helps!! :)
Answer:
14
Step-by-step explanation:
To find the perimeter, you need to add the lengths of each side.
In order to find the length of each side, imagine each side of the given triangle is the hypotenuse of an imaginary triage and use the Pythagorean Theorem (a² + b² = c²).
For the top side, I see an imaginary triangle with one side of 3 and the other side of 1. This means the length of the top of the given triange is √10:
3² + 1² = c²
9 + 1 = c²
10 = c²
√10 = c
For the left side, my imaginary triangle has one side of 5 and the other is 1. The length of this side is √26:
5² + 1² = c²
25 + 1 = c²
26 = c²
√26 = c
For the right side, I see a triange with two sides of 4 and the hypotenuse is √32.
This means the triangle in our question has side of √10, √26, and √32
If I add all of these up on a calculator, I get 13.918 which rounds up to 14 because the question wants the nearest whole unit.
I can't exactly understand what you mean but what I thought you put in the answer is 40
