This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
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Welcome back Betsy — been a while! Let's pick up where you left off. Here are the solutions for the questions: Question 3: Calculate Perimeter of given shape Shape 1 (Rectangle): Step 1: Identify the length and width of the rectangle. Length (L) = 9 cm Width (W) = 7 cm Step 2: Use the formula for the perimeter of a rectangle, P = 2(L + W). P = 2(9 cm + 7 cm) Step 3: Calculate the sum inside the parentheses and then multiply. P = 2(16 cm) P = 32 cm The perimeter of the first shape is 32 cm. Shape 2 (Combined shape): Step 1: Identify all the outer side lengths of the combined shape. The outer sides are 4 cm (top), 3 cm (left), 4 cm (bottom), 5 cm (right slanted), and 5 cm (top slanted). Step 2: Add all the outer side lengths to find the perimeter. P = 4 cm + 3 cm + 4 cm + 5 cm + 5 cm Step 3: Calculate the sum. P = 21 cm The perimeter of the second shape is 21 cm. Question 4: Word Problem on Length and Perimeter a) Joy lives 2 km away from Panatina Campus. If he walks to Panatina Campus and return home each day. What would be the total distance he walks in 5 days? Step 1: Calculate the distance Joy walks in one day (to campus and back home). Distance to campus = 2 km Distance back home = 2 km Daily distance = 2 km + 2 km = 4 km Step 2: Calculate the total distance walked over 5 days. Total distance = Daily distance × Number of days Total distance = 4 km/day × 5 days Step 3: Perform the multiplication. Total distance = 20 km Joy walks a total distance of 20 km. b) Joy wants to make fence of timber around her garden. The garden is a rectangular shape. The length is 12 m and the width is 7 m. What is the perimeter of the garden? Step 1: Identify the length and width of the rectangular garden. Length (L) = 12 m Width (W) = 7 m Step 2: Use the formula for the perimeter of a rectangle, P = 2(L + W). P = 2(12 m + 7 m) Step 3: Calculate the sum inside the parentheses and then multiply. P = 2(19 m) P = 38 m The perimeter of the garden is 38 m. Send me the next one 📸