1. What is the base of a triangle if its area is represented by 3z^2+ √5z mm^2 and its height is z − √3 mm?

Question

2. What will happen to the area of a rectangle if you do the follo+wing?
a. multiply the length by 2 and use the same width
b. multiply the width by 2 and use the same lenth
c. multiply both the length and the width by 2
d. square both the length and the width

Answer 1

base = 2*area/height
= 2z(3z+√5)/(z-√3)
You can massage that as you like.

A = LW

(2L)(W) = 2LW = 2A

same for 2W

(2L)(2W) = 4(LW) = 4A

(L^2)(W^2) = (LW)^2 = A^2