×
Back to all chapters

# SAT Polygons

What is the sum of the measures of the angles of a convex polygon with $$11$$ sides?

(A) $$\ \ 810$$
(B) $$\ \ 1440$$
(C) $$\ \ 1620$$
(D) $$\ \ 1800$$
(E) $$\ \ 1980$$



A botanical garden is divided into regular hexagons, as shown in the figure above. A fence is constructed which surrounds the garden. If the side of each hexagonal section is $$10$$ feet long, which of the following is the shortest possible length of the fence in yards? (3 ft = 1 yd)

(A) $$\ \ 60$$
(B) $$\ \ 80$$
(C) $$\ \ 180$$
(D) $$\ \ 240$$
(E) $$\ \ 480$$



In the figure above, $$A =45, B = 79,$$ and $$C=15.$$ For what values of $$x$$ and $$y$$ will the quadrilateral above be a parallelogram?

(A) $$\ \ x=3, y=8$$
(B) $$\ \ x=8, y=3$$
(C) $$\ \ x=15, y = 15$$
(D) $$\ \ x=15, y=8$$
(E) $$\ \ x=15, y = 64$$

A rectangle and a square both have perimeters equal to $$24.$$ If the width of the rectangle is $$3,$$ what is sum of their areas?

(A) $$\ \ 9$$
(B) $$\ \ 27$$
(C) $$\ \ 36$$
(D) $$\ \ 63$$
(E) $$\ \ 99$$



Shown above are three squares. If $$a=3,$$ what is the area of the unshaded region in the diagram above?

(A) $$\ \ 90$$
(B) $$\ \ 99$$
(C) $$\ \ 117$$
(D) $$\ \ 144$$
(E) $$\ \ 189$$

×