1 / 8

SOLUTION

x 2 + 5 x + 6. x 2 + 6 x + 6. x 2 + 6 x. x 2 + 6. C. B. D. A. Area = length width. EXAMPLE 6. Standardized Test Practice. The dimensions of a rectangle are x + 3 and x + 2. Which expression represents the area of the rectangle ?. SOLUTION.

hollis
Télécharger la présentation

SOLUTION

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. x2 + 5x + 6 x2 + 6x + 6 x2 + 6x x2 + 6 C B D A Area = length width EXAMPLE 6 Standardized Test Practice The dimensions of a rectangle are x + 3 and x + 2. Which expression represents the area of the rectangle? SOLUTION Formula for area of a rectangle = (x + 3)(x + 2) Substitute for length and width. =x2 + 2x + 3x + 6 Multiply binomials.

  2. ANSWER The correct answer is B. B A D C CHECK You can use a graph to check your answer. Use a graphing calculator to display the graphs of y1=(x + 3)(x + 2) and y2=x2 + 5x + 6 in the same viewing window. Because the graphs coincide, you know that the product of x + 3 and x + 2 is x2 + 5x + 6. EXAMPLE 6 Standardized Test Practice = x2 + 5x + 6 Combine like terms.

  3. • Write a polynomial that represents the area of the skateboard park. What is the area of the park if the walkway is 3 feet wide? • Solve a multi-step problem EXAMPLE 7 SKATEBOARDING You are designing a rectangular skateboard park on a lot that is on the corner of a city block. The park will have a walkway along two sides. The dimensions of the lot and the walkway are shown in the diagram.

  4. Area=lengthwidth Solve a multi-step problem EXAMPLE 7 SOLUTION STEP1 Write a polynomial using the formula for the area of a rectangle. The length is 45–x. The width is 33 – x. Formula for area of a rectangle = (45 – x)(33 – x) Substitute for length and width. = 1485 – 45x – 33x + x2 Multiply binomials. = 1485 – 78x + x2 Combine like terms.

  5. ANSWER The area of the park is1260square feet. Solve a multi-step problem EXAMPLE 7 STEP2 Substitute 3 for x and evaluate. Area= 1485 – 78(3) + (3)2 = 1260

  6. The dimensions of a rectangle are x + 5 and x + 9. Which expression represents the area of the rectangle? x2 + 45 x2 + 14x + 45 x2 + 45x + 45 x2 + 45x C A D B C 7 ANSWER C for Examples 6 and 7 GUIDED PRACTICE

  7. for Examples 6 and 7 GUIDED PRACTICE 8. GARDEN DESIGN You are planning to build a walkway that surrounds a rectangular garden, as shown. The width of the walkway around the garden is the same on every side.

  8. ANSWER 4x2 + 38x + 90 ANSWER 306 ft2 for Examples 6 and 7 GUIDED PRACTICE a. Write a polynomial that represents the combined area of the garden and the walkway. b. Find the combined area when the width of the walkway is 4 feet.

More Related