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
Answer: -2, 2
Step-by-step explanation:
The sides of an equilateral triangle are same. So if one of the sides is (x-4.5), all the sides are (x-4.5).
Let the sides are a=(x-4.5), b=(x-4.5), c=(x-4.5)
1. Perimeter(as sum) = a+b+c
= (x-4.5)+(x-4.5)+(x-4.5)
= x+x+x-4.5-4.5-4.5
= 3x - 13.5
2. Perimeter (as product) = 3×a
= 3×(x-4.5)
= 3×x - 3×4.5
= 3x - 13.5
(you can write 3×b or 3×c also as a=b=c.)
<em>Both perimeter as sum and perimeter as product are same as adding a number three times is the same as multiplying it by 3.</em>
I think it’s rational and irrational numbers
-Isabel <3
