ALGEBRA WORD PROBLEMS INVOLVING GEOMETRY

Problem 1 :

The sum of the angles of a triangle is 180 degrees. The second angle is 35 degrees more than the first angle and the third angle is 25 degrees more than the first angle. What are the three angles?

Solution :

Problem 2 :

The perimeter of a rectangle is 64 m and its length is 3 times its width. What are the dimensions of the rectangle?

Solution :

Problem 3 :

If the area of a circle is 25𝜋 𝑚2, what is its circumference?

Solution :

Problem 4 :

The height of a triangle is 12 cm longer than its base. If its area is 270 square cm, what is the length of the base and the height?

Solution :

Problem 5 :

The angles of a quadrilateral add up to 360°. The measure of the second angle is 15° more than the measure of the first angle, the measure of the third angle is 27° more than the measure of the first angle and the measure of the fourth angle is 38° more than the measure of the first angle. What are the angles of the quadrilateral?

Solution :

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