BB Math Pronlem 9 Page 745 and 15 p. 747

<p>9: In the figure above , line l passes through the origin. What is the value of k/h?
a. 3
b. 2
c. 3/2
d. -3/2
e. -3</p>

<p>15: A store charges $28 for a certain type of sweater. This price is 40 percent more than the amount it costs the store to buy one of these sweaters. At the end of season sale, store employees can purchase any remaining sweaters at 30 percent off of the store cost. How much would it cost the employee to purchase a sweater of this type at this sale?</p>

<p>a. $8.40
b. $14.00
c. $19.60
d. $20.00
e. $25.20</p>

<p>I also need help for number 16 on p. 747. I don't know how to draw the rectangle. they way I draw it ABED would be a triangle, not a quadrilateral. Could someone illustrate how to draw that figure?</p>

<p>?: In rectangle ABCD, point E is the midpoint of BC. if the area of quadrilateral ABED is 2/3, what is the area of rectangle ABCD?
a. 1/2
b.3/4
c. 8/9
d. 1
e. 8/3</p>

<p>I know that the answer is 8/9, and I know that ABED is supposed to be 3 equillateral triangles, I just can't get the thing drawn right to understand it. Someone please help.</p>

<p>15) is 28=1.4x x=20. 20 is the amount it costs the store to buy. then take 70 percent of the 20 since it's 30 percent off and you get b) 14.</p>

<p>What about the others?</p>

<p>Anyone?????</p>

<p>Well.You have rectangle ABCD and point E being the midpoint of BC
The figure ADBE is trapezoid.Let AD = BC = 2x ==> BE = EC = x.Let AB=DC = b
The area of a trapezoid can be found using the formula (a+b)h/2 ==>Area of ADBE is (2x+x)b/2 = 2/3
3xb/2 =2/3 (1)</p>

<p>You see that ECD is right triangle.So its area is xb/2</p>

<p>From (1) you know that 3xb/2 = 2/3 ===> xb/2 is (2/3)/3 = 2/9.Then ,the area of ECD is 2/9 (2)</p>

<p>from (1) and (2) ,the area of ABCD = area of ABBE + area of ECD = 2/3 + 2/9 = 8/9</p>