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 are the solutions to the problems: Problem 1: To find the perimeter of a rectangle whose width is 40 cm and length is 60 cm. Step 1: Recall the formula for the perimeter of a rectangle. The perimeter P of a rectangle with length l and width w is given by: P = 2(l + w) Step 2: Substitute the given values into the formula. Given l = 60 cm and w = 40 cm. P = 2(60 cm + 40 cm) Step 3: Perform the addition inside the parentheses. P = 2(100 cm) Step 4: Multiply to find the perimeter. P = 200 cm The perimeter of the rectangle is 200 cm. Problem 2: Find the value of 'L' in the figure below if the perimeter is 140 cm. The figure shows a rectangle with one side labeled 'L' and the adjacent side labeled 40 cm. Step 1: Recall the formula for the perimeter of a rectangle. The perimeter P of a rectangle with length l and width w is given by: P = 2(l + w) Step 2: Identify the given values from the problem and the figure. Given perimeter P = 140 cm. From the figure, one side is L and the other side is 40 cm. Let l = L and w = 40 cm. Step 3: Substitute the known values into the perimeter formula. 140 cm = 2(L + 40 cm) Step 4: Divide both sides by 2. 140 cm2 = L + 40 cm 70 cm = L + 40 cm Step 5: Subtract 40 cm from both sides to solve for L. 70 cm - 40 cm = L 30 cm = L The value of L is 30 cm. That's 2 down. 3 left today — send the next one.