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Example 9.37 from Prealgebra, 9.4 Use Properties of Rectangles, Triangles, and Trapezoids
Use Properties of Rectangles, Triangles, and Trapezoids: example 9.37
Arianna has inches of beading to use as trim around a scarf. The scarf will be an isosceles triangle with a base of
inches. How long can she make the two equal sides?
Work it out on paper first. Then open the solution one step at a time, and stop as soon as you can finish on your own.
Solution
Step 1. Read the problem. Draw the figure and label it with the given information.
P = 156 in.Step 2. Identify what you are looking for. the lengths of the two equal sides Step 3. Name. Choose a variable to represent it. Let s = the length of each side Step 4.Translate.
Write the appropriate formula.
Substitute in the given information.Step 5. Solve the equation. Step 6. Check: Step 7. Answer the question. Arianna can make each of the two equal sides 48 inches long.
Your turn
The book's Try It right after this example: same idea, new numbers. Only the answer is given.
A backyard deck is in the shape of an isosceles triangle with a base of feet. The perimeter of the deck is feet. How long is each of the equal sides of the deck?
How did it go?