(a).The figure at the below shows a rectangle which has a quarter-circle and a semicircle cut out of it. Find a formula that gives the total perimeter length of this figure in terms of the three letters: “L”, “W” and “ R ”
A: 2L+2W+0.71R
B: 2L+2W-0.71R
C: 2L+2W-0.86R
D: 2L+2W+0.86R

#Q.4(b) Follow the previous diagram find out the Area
A: LW-0.78R^2
B: None of these
C: LW+2.36^2
D: LW-3.14R^2

region b will make the inequalities y < 2x + 1 and y > -x - 2 true ⇒ answer a

step-by-step explanation:

* lets study the graph and the inequality to solve the question

- the inequality y > -x - 2

∵ the form of the inequality is y > mx + c , m is the slope of the line

  and c is the y-intercept (the line intersect y-axis at point (0 , c)

∴ c = -2 that means the line intersect the y-axis at point (0 , -2)

∵ the sign of the inequality is >

∴ we shad the part over the line

  region a and b

- the inequality y < 2x + 1

∵ the form of the inequality is y > mx + c , m is the slope of the line

  and c is the y-intercept (the line intersect y-axis at point (0 , c)

∴ c = 1 that means the line intersect the y-axis at point (0 , 1)

∵ the sign of the inequality is <

∴ we shad the part under the line

  region b and c

∵ the common region between the two lines is region b

∴ region b will make the inequalities y < 2x + 1 and y > -x - 2 true

ljn

step-by-step explanation:

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