These lessons are compiled to help Algebra 1 students learn how to solve geometry word problems using quadratic equations.
A picture inside a frame is 2 in longer than it is wide. The picture is in a frame that has width 3 in on each side of the picture. If the area of the picture, including the frame is 195 in2, find the dimensions of the frame.
Suppose a gardener wants to fence two equal rectangular plots. If she has 31 yards of fencing and the total area of the plots is to be 40 yd2, what are the possible dimensions?
Suppose a gardener wants to fence three rectangular plots. If she has 120 yards of fencing and the total area of the plot is 450 yard2, give the dimensions of the plots.
Suppose the area of a rectangle is 114.4m2 and the length is 14m longer than the width. Find the length and width of the rectangle.
This problem requires the use of the Pythagorean Theorem to find the lengths of the sides of a piece of property in the shape of a right triangle.
Taylor finds a piece of property in the shape of a right triangle. She finds that the longer leg is 10 m shorter than twice the length of the shorter leg and the hypotenuse is 20 m longer than the longer leg. Find the lengths of the sides of the triangular lot.
How to solve three different types of word problems that require one to use quadratic equations?
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