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.
ScanSolve AI Answer
here's the solution for the house plan: Question: Find the perimeter of the house plan below. The shape is a composite figure with a rectangular indentation on its top side. To find the perimeter, we need to sum the lengths of all the outer edges. Step 1: Identify the lengths of all the outer segments of the shape. • Left vertical side: 8 cm • Bottom horizontal side: This is the sum of the three segments at the top, which are 5 cm + 5 cm + 5 cm = 15 cm. So, the bottom horizontal side is 15 cm. • Right vertical side: 8 cm • Top right horizontal segment: 5 cm • Inner vertical segment (going downwards into the indentation): 5 cm • Inner horizontal segment (at the base of the indentation): 5 cm • Inner vertical segment (going upwards out of the indentation): 5 cm • Top left horizontal segment: 5 cm Step 2: Add all the identified side lengths to calculate the perimeter. Perimeter = 8 cm + 15 cm + 8 cm + 5 cm + 5 cm + 5 cm + 5 cm + 5 cm Perimeter = 56 cm The perimeter of the house plan is 56 cm. What's next?