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
Fresh day lencies, let's solve. The problem asks to find the length of the diagonal of a rectangular garden that measures 6 m by 8 cm. There appears to be a unit inconsistency (meters and centimeters). Assuming the diagram is correct and the dimensions are 6 m and 8 m, we will proceed with that assumption. If the 8 cm is correct, please clarify. Step 1: Identify the dimensions of the rectangle. The length of the rectangle is 8 m and the width is 6 m. The diagonal of a rectangle forms the hypotenuse of a right-angled triangle with the length and width as its legs. Step 2: Apply the Pythagorean theorem. Let d be the length of the diagonal, l be the length, and w be the width. The Pythagorean theorem states: d^2 = l^2 + w^2 Step 3: Substitute the given values into the formula. d^2 = (8 m)^2 + (6 m)^2 d^2 = 64 m^2 + 36 m^2 d^2 = 100 m^2 Step 4: Solve for d. d = sqrt(100 m)^2 d = 10 m The length of the diagonal is 10 m. Send me the next one 📸