math

Two paper strips each 5 cm wide are laid across each other at an angle of 30 degrees. Determine the area of the overlapping area.

I have no idea where to start with this question or how to go on. I know it has to do with cosine or sine law. But what do I do

1. 👍 0
2. 👎 1
3. 👁 655
1. take two identical rulers and lay them across each other at 30° to get a mental image of the problem.

Is the overlapping area not a rhombus with acute angles of 30° and obtuse angles of 150° ?

So make that sketch, all 4 sides are equal, label them x

draw a vertical from the obtuse angle to the base, you now have a 30-60-90° triangle where the side opposite the 30° is 5 cm
You should know that the ratio of sides of the 30-60-90 is 1:√3:2
x/√3 = 5/1
x = 5√3

and the area would be base x height
= (5√3)(5) = 25√3

1. 👍 0
2. 👎 0

Similar Questions

1. Pls help urgent math

2/7 part of a cable was laid on the first day, 1/5 part on the second day and 1/3 part was laid on the third day. If 443 1/3m was laid on the fourth day to complete the work, what is the total length of the cable laid?

2. maths

a paper box without a lid is 25 cm long. 16 cm wide and 5 cm deep . how many square centimetres of paper have been used to make the box .

3. Math

a page is to contain 30 square inches of print. the margins at the top and bottom are each 2 inches wide. the margin on each side are only 1 inch wide. find the dimensions of the page so that the least paper is used

4. Math

A piece plywood 24 inches wide is cut into strips 2 and a half inches wide, how many strips of this with can be cut. Please help,7th grade.

1. Physics/Chemistry

Two thin strips of metal are bolted together at one end and have the same temperature. One is steel, and the other is aluminum. The steel strip is 0.10% longer than the aluminum strip. By how much should the temperature of the

2. Modeling with Linear Systems

Pam laid three times as many tiles on Saturday as she laid on Sunday. If Pam laid 80 tiles over the weekend altogether, how many tiles did she lay on Saturday?

two strips of fabric measure 14 3/4 and 20 7/8 in in length. To form one length, the strips are sewn together using 3/8 in from ea strip to make the seam. What is the final length of the fabric after the two strips are sewn

4. algebra

A rectangular piece of cardboard measures 17cm by 14cm. Strips of equal width are cut off one side and one end. The area of the remaining piece is 108cm^2. Find the width of the strips removed.

1. math

two strips of fabric measure 14 2/3 inches and 20 7/8 inches in length. to form one length, the strips are sew together using 3/8 inch from each strip to make the seam. what is the final length of the fabric after the two strips

2. Algebra1

If Cassidy wants to cut yellow fabric that is 12.8 yards into strips that are 0.3 yards wide. How many strips of yellow fabric can Cassidy make? To get this answer, would you divide, 12.8 yards divided by 0.3 yards wide to get the

3. physics

what if you had paper clips, rubber bands, wood chips, straight pins, strips of aluminum foil, and glass beads? Using a property of matter youve learned, classify thesse objects. Show your results in a table

4. Math

You have a painting that is 30 in. wide and 22.5 in. tall. You would like to reproduce it on a sheet of paper that measures 8 1/2 in. by 11 in., leaving at least a 1­in. margin on all four sides. a) What scale should you use if