We simply plug the expressions of the individual areas of A and B into the expression A - B = 21. The area of the small rectangle B is 2 × x, which is the multiplication of the length of its sides. The area of the large rectangle A is (2x+3) × x, which is the multiplication of the length of its sides. If you subtract the area of the small rectangle from the area of the large one the resulting area shaded in yellow equates to 21. If the area of the large rectangle is A, and the area of the small rectangle is B, then we can write the expression above. AnswerĬutout area problems are very simple to solve. Show that 2x²+x-21=0, and calculate the length of the smaller rectangle. The small rectangle has a length x and width 2 cm. A small rectangle is missing from one corner. The diagram above shows a large rectangular piece of card of length 2x+3 and width x. I have designed the question so that the numbers can be easily calculated without a calculator. The final expression is of course a quadratic equation that you can solve using the standard formula. The area of a rectangle paper of 45 square inches and a width of 5 inches.In this example question, there are two rectangles, and you simply have to subtract the area of the smaller rectangle from the area of the larger rectangle to get the answer. The area of a rectangle rug 28 square feet and a length of 7 feet. The area of a square is 25 square centimeters. ANSWER BOX: A = in 2Ī rectangular yard has a length of 12 meters and a width of 4 meters. 1.įind the area of a square with each side measuring 6 inches. This will help you practice finding the area of a rectangle. After you click ENTER, a message will appear in the RESULTS BOX to indicate whether your answer is correct or incorrect. Your answers should be given as whole numbers greater than zero. Click once in an ANSWER BOX and type in your answer then click ENTER. The formula for area of a rectangle is:Ī = L * W where L is the length and W is the width.Ī square is a rectangle with 4 equal sides The formula for area of a square is:ĭirections: Read each question below. Given the area and one dimension of a rectangle, we can find the other dimension. Given the length and width of a rectangle, we can find the area. Summary: The dimensions of a rectangle are length and width. So must equal 3 cm.Įxample 4: The area of a rectangle is 12 square inches and the width is 3 inches. Let's look at some examples in which we are given the area of the rectangle, and are asked to work backwards to find the missing dimension.Įxample 3: The area of a square is 9 square centimeters. In Examples 1 and 2, we found the area of a recentangle given the dimensions of the rectangle. Let's look at some examples of finding the area of rectangles.Įxample 1: Find the area of a square with each side measuring 2 inches.Įxample 2: What is the area of a rectangle that has a length of 8 centimeters and a width of 3 centimeters? Or where A is the area, s is the length of a side, and To find the area of a square, multiply the length of one side by itself. The formula is:Ī = L * W where A is the area, L is the length, W is the width, and * means multiply.Ī square is a rectangle with 4 equal sides. To find the area of a rectangle, multiply the length by the width. Area is measured in square units such as square inches, square feet or square meters. Area is 2-dimensional: it has a length and a width. Perimeter is 1-dimensional and is measured in linear units such as inches, feet or meters. To understand the difference between perimeter and area, think of perimeter as the length of fence needed to enclose the yard, whereas area is the space inside the yard. The area of a polygon is the number of square units inside the polygon. How To Find The Area of a Rectangle Using Area of Rectangle Formula.
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