**Task 5: Perimeter Formula Calculation****Objective:** Write a formula for the perimeter of the figure from problem #4 in terms of \( a, b, c, \) and \( d \).**Diagram Description:**The figure is composed of a rectangle with a semicircle on top. The rectangle has the following measurements:- Height: \( a \)- Base: \( b \)The semicircle sits on top of the rectangle, sharing its width.- The radius of the semicircle (half of the base of the rectangle): \( \frac{b}{2} \)A diagonal line extends from the top corner of the rectangle to the edge of the semicircle, labeled \( d \).**To find the perimeter:**1. **Rectangle:** - One side of length \( a \) - One base of length \( b \)2. **Semicircle:** - Perimeter: \( \pi \times \frac{b}{2} \) (half of the circle's circumference)3. **Diagonal Line:** Length \( d \)Thus, the perimeter \( P \) can be formulated as:\[ P = b + 2a + \pi \times \frac{b}{2} - b + d \]\[ P = 2a + \left(\frac{\pi b}{2}\right) + d \]

Answered: Image /qna-images/answer/8b92c124-c17d-437d-975c-a6f7b6eedba0.jpg

Answered: 5. Write a formula for the perimeter of…

5. Write a formula for the perimeter of the figure from problem #4 in terms of a, b, c, and d.

17th Edition

ISBN:9780998625713

Author:Lynn Marecek, MaryAnne Anthony-Smith

Publisher:Lynn Marecek, MaryAnne Anthony-Smith

Chapter8: Rational Expressions And Equations

Section8.7: Solve Proportion And Similar Figure Applications

Problem 8.157TI: On the map, Seattle. Portland, and Boise form a triangle whose sides are shown in the figure below....

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