So the dimensions of the rectangle are #9.438xx13.562#. #l=128/13.562~~9.438" cm " and " "l=128/9.438~~13.562 " cm"#Īs you can see, the rectangle seems to have two different possible lengths and widths, but they're actually the same. We will use #l=A/w# to find the corresponding lengths: To find the width, multiply the length that you have been given by 2, and subtract the result from the perimeter. This is a quadratic equation whose solutions can be found using the quadratic formula: Diagram of a rectangle showing l length and w width Rectangular Border. Now divide everything by #2# to simplify:įinally, rearrange and subtract #23w# from both sides: Multiply this length and width to obtain the area in corresponding units. Diagonal of Rectangle (d) (l + w), where 'l' is the length and 'w' is the width of the rectangle. Perimeter of a Rectangle: P 2 (l + w), where 'l' is the length and 'w' is the width of the rectangle. Example 1: Find the area of the rectangle whose length is 15 cm and the width is 4 cm. For example, if the length is 5 m, and width is 2 ft, convert both to either m or ft. In the formula for the rectangle, put the width equal to the length. Area of a Rectangle: A l × w, where 'l' and 'w' are the length and width of the rectangle, respectively. The formula for the perimeter, 'P' of a rectangle whose length and width are 'l' and 'w' respectively is P 2 (l + w). Convert the length and width into the same unit.We must measure them both in the same unit. The formula for the area, 'A' of a rectangle whose length and width are 'l' and 'w' respectively is the product of length and width, that is, 'A l × w'. ![]() Since we know the perimeter is #46 " cm"#, and the area is #128" cm"^2#, we can plug these into the formula: To find the surface area of a rectangle, you require its length and width. We can substitute this into the equation for perimeter, #P=2l+2w#: ![]() ![]() Dividing by #w# in #A=lw# gives us a formula for length in terms of area and width: We can solve for either length or width - I'll start with width. These two unique sides are the dimensions of a rectangle. Out of four sides, two sides are unique, and the other two sides are similar to the unique sides. Since we have perimeter and area, we will use the formulas for perimeter ( #P#) and area ( #A#): What are the dimensions of the rectangle A rectangle is a 2-dimensional geometrical shape formed by four perpendicular sides. In order to find length and width, we need formulas which include length and width. We are looking for the length and width of this rectangle.
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