Question 10 • FL-1200700-Mathematics for College Algebra MIS
The rectangle is made of two congruent triangles, each with area 44 square inches, so its area is 2 × 44 = 88 square inches. If its length is x, its width is x − 3, so x(x − 3) = 88, or x² − 3x − 88 = 0; this makes statement C true and statement B false. Factoring gives (x − 11)(x + 8) = 0, so the length is 11 inches and the width is 8 inches. Thus the triangle’s base and height can be 11 inches and 8 inches, and the width is not 4 inches.
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