Note that the slope of sides AB and CD are equal to 1 / 3 and therefore these two sides are parallel.We first calculate the slopes and see if the opposite sides are parallel.Substitute y by 2 x in the equation 100 2 = x 2 + y 2.Īrea = y x = 40 sqrt(5) * 20 sqrt(5) = 4000 feet 2.Īre the points A(-1, 0), B(5, 2), C(4, 5) and D(-2, 3) the vertices of a rectangle?.We rewrite the statement "its length y is twice its width x" as a mathematical equation.Problem 3 The diagonal d of a rectangle has a length of 100 feet and its length y is twice its width x (see figure below). As an exercise, check that the area and perimeter of the rectangle are 150 and 50 respectively.Since L > W, the rectangle has the dimensions.Use W = 25 - L to find the corresponding values of W.The above is a quadratic equations with two solutions.Expand the above equation and rewrite with right term equal to zero.Substitute W by 25 - L in the equation L W = 150.Divide all terms in the equation 2 L + 2 W = 50 by 2 to obtain.Use the formula of the perimeter to write.Find the length L and the width W of the rectangle, such that L > W.
The perimeter of a rectangle is 50 feet and its area is 150 feet 2.
We now rewrite the statement "its length L is 3 times its width W" into a mathematical equation as follows:.Use the formula of the perimeter to write.
Find the dimensions W and L, and the area of the rectangle. Area = L × W, w is the width and L is the length of the rectangle.Ī rectangle has a perimeter of 320 meters and its length L is 3 times its width W.
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