![]() The question asks for the length and width of the rectangle, these has been found and checked. The perimeter is 46cm which matches the information given in the question. Is my solution correct?Ĭheck the answer by calculating the perimeter of the rectangle. The formula of perimeter and area of rectangle are explained step-by-step with solved examples. The width of the rectangle is: \(3x - 2\) The length of the rectangle is: \(2x 5\) ![]() The perimeter of the rectangle is 46 cm, therefore:įind the length and width of the rectangle by substituting the value of \(x\) into the expressions for the length and width. The perimeter of a shape is found by adding up all the sides. Write on the lengths ( expressions ) of the other sides on your diagram. The formula for the area of a rectangle is equivalent to the multiplication of the length and breadth of the rectangle. What information don’t I need?Įverything in this question is relevant to working out the answer. The answer might be a whole number or a fraction or decimal. The question asks to find the length and width of the rectangle, and to do this you have to find the value of \(x\). The key word in the question is perimeter. The highlighted words are the most important ones. Highlight or underline the important pieces of information in the question. Substituting b inside A a×b, we get A a (P/2a). Now insert the above equation into the equation for the area (A): The area equation is given as A a×b. įind the length and width of the rectangle 1. To find the dimensions of a rectangle: Rewrite the perimeter equation P 2 (a b) in terms of one of the dimensions, like so: b P/2a. The width of the rectangle is \(3x - 2\). Total time taken = Total distance walked × time taken to walk 1m.The length of the rectangle is \(2x 5\). Total distance walked = 5 × Perimeter of the park. If he walks 100m in 5 minutes, how long will it take for him in total? If the size of the park is 100m by 50m, find the distance the boy has walked. Perimeter of rectangle = 2(length breadth)Įxample 6: Find the perimeter of rectangle whose length is 6 inches and width is 4 inches.Įxample 7: A boy walks 5 times around a park. Perimeter = 2(b) 2(h) = 2(4) 2(3) = 8 6 = 14.Įxample 5: Calculate the perimeter of the rectangle whose length is 18cm and breadth 7cm Find the area of the base, times 2, then add the areas to the areas of the rectangle, which is the circumference times the height. The area of a rectangle with length, l, and width, w, is: A lw. So the equation to solve becomes so thus the width is and the length is. The area of a square with side, s, is: A s 2. Now, substituting these values in the formula for perimeter, we will getĮxample 3: Find the area and the perimeter of a rectangle whose length is 24 m and width is 12m?Įxample 4: Find the area and perimeter of a rectangle whose breadth is 4 cm and the height 3 cm. Given a rectangle, the general equation for the perimeter is and area is where is the length and is the width. Therefore, the dimensions are 5cm and 3cm. ![]() Note that the value of x must be positive and therefore in our case, the value of x is 2. We can substitute the expressions for length and width into the equation for area in order to determine the value of x. To compute the area of the rectangle, I multiply length times width: The rules for propagation of error state that when two quantities are multiplied, their. Since the area of a rectangle is given by: ![]() A rectangular bedroom with one wall being 15 feet long and the other being 12 feet long is simply 12 x 15 180 square feet. For example, a garden shaped as a rectangle with a length of 10 yards and width of 3 yards has an area of 10 x 3 30 square yards. We know that the dimensions of the rectangle in terms of x: The area of any rectangular place is or surface is its length multiplied by its width. If its area is 15 cm 2, what are the rectangle's dimensions and what is its perimeter? Thus, the perimeter of the rectangle is 42 cm.Įxample 2: If a rectangle's length is 2x 1 and its width is 2x – 1. Perimeter of the rectangle = 2(l w) units The perimeter of a rectangle is the total length of all the four sides.Įxample 1: Rectangle has the length 13 cm and width 8 cm. Using the information given we need to define the perimeter. ![]() A rectangle is 2-dimensional however, perimeter is 1-dimensional and is measured in linear units such as feet or meter etc. Formulas needed: Perimeter of rectangle 2(base height) Area of rectangle base height. In rectangle, the distance around the outside of the rectangle is known as perimeter. ![]()
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