Mr. Tortola wants to put a new coat of stain on his back patio. The following diagram shows the design of the patio, with all dimensions represented as polynomials. The main patio is a rectangle, with a smaller rectangle on the end, a hot tub (blue), and 2 congruent flower boxes (grey).  

a) Create a simplified polynomial to represent the area of the patio that needs to be stained. Assume that the areas covered by the hot tub and the flower boxes will not be stained.  

b) If the actual value of x=1m, what is the area of the patio to be stained?  

c) If a can of stain covers \( 35 m ^ { 2 } \) and costs \( \$ 50 \) , how much will it cost Mr. Tortola to stain  the patio with \( 1 \) coat of stain? 

Find the surface area of a box with no top and width \(5\) inches, length \(2 ft\) , and height \(6\) inches. Type in your work and final answer including units in the answer box. 

Quadrilateral \( A B C D \) and quadrilateral GHIJ are similar. If \( m \angle B = 103 , D A = 28 , C B = 14 \) , and IH \( = 24 \) , find \( m \angle H \) and \( J G \) . lesson 65) 

Find the number of sides of a polygon if the sum of the interior angles is equal to three times the sum of the exterior angles. 

 In \( \triangle T U V , m \angle T = 21 \) and \( m \angle V \) is one-half \( m \angle U \) . What is the measure of the angle opposite the in longest side of \( \triangle T U V \) ?

Given: \( AB = 3 , BC = 6 , CA = 7 \) 

\( GH = 1.2 , HJ = 1.4 , JG = 0.6 \) 

Complete the similarity statement if the triangles constructed with th side lengths given above are similar, otherwise choose the "Not Similar" button. 

\( \triangle CAB \sim \triangle \)