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1. A square painting is surrounded by a 2.5cm frame. If total area of a painting plus frame is 3600sq.cm, find the dimension of rhe painting.

2. The Area of a rectangle is given by the expression 4x²+5x-6.
a. What is the length of the retangle if its width is x+2
b. If x=8, what is the dimension of the rectangle?



Sagot :

1)
A=s^2
3600=(s+2.5)^2
√3600=√(s+2.5)^2
60=s+2.5
s=57.5cm
right?

2)
L=4x²+5x-6
       x+2
L=4x-3
if x=8
L=29
W=10
A=290

1.) See attached. The side of the painting measures 55cm.

[tex]3,600=(s+5)^2 \\ \sqrt{3,600} = \sqrt{(s+5)^2} \\ 60=s+5\\ s=55[/tex]


2.)

[tex]4x^2+5x-6=(x+2)(4x-3)[/tex]

a) Length = 4x-3

b) Width  = x+2  = 8+2 = 10
    
Length = 4x-3 = 4(8)-3 = 29
View image AnneC