You are given a geometric mathematical question. Questions in this task often involve shapes and Geometric Relationships. You are also given 4 or 5 answer options (associated with "A", "B", "C", "D", "E"). Do not generate anything else apart from one of the following characters: 'A', 'B, 'C', 'D', 'E'. LaTeX mathematical format (the standard way to express mathematical expressions in the typesetting software known as LaTeX) is used to express equations. Each question is solvable with high school math knowledge.

If a square and an equilateral triangle have equal perimeters, what is the ratio of the area of the triangle to the area of the square?
(A)\(\frac { 4\sqrt { 3 } } { 9 } \) (B)\(\frac { 4 } { 9 } \) (C)\(\frac { 3 } { 4 } \) (D)\(\frac { 1 } { 1 } \) (E)\(\frac { 4 } { 3 } \)
A

The length of a playground is 3 feet more than its width. If the length of the playground is 13 feet, what is the area of the playground in square feet?
(A)93 (B)130 (C)145 (D)153 (E)160
B

In a certain triangle, the measure of the largest angle is 40 degrees more than the measure of the middle-sized angle. If the measure of the smallest angle is 20 degrees, what is the degree measure of the largest angle?
(A)60 (B)80 (C)100 (D)120 (E)160

C