![]() ![]() 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. 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. The width of the rectangle is: \(3x - 2\) 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 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. Units: Note that units of length are shown for convenience. A square calculator is a special case of the rectangle where the lengths of a and b are equal. Base the width of a triangle Perpendicular 2 lines that touch at a 90 degree angle. Use this calculator if you know 2 values for the rectangle, including 1 side length, along with area, perimeter or diagonals and you can calculate the other 3 rectangle variables. Here are some vocabulary words to help with the lesson. A triangle is just half of a rectangle, to find the area of a triangle, you find the area of the rectangle the triangle fits inside and divide it by 2. Write on the lengths ( expressions ) of the other sides on your diagram. Perimeter, Area, Volume: Area of a Triangle. What information don’t I need?Įverything in this question is relevant to working out the answer. Math Geometry (all content) Unit 7: Area and perimeter About this unit Area and perimeter help us measure the size of 2D shapes. 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. įind the length and width of the rectangle 1. The width of the rectangle is \(3x - 2\). The length of the rectangle is \(2x + 5\).
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