Write the word or phrase that best completes each statement or answers the question.
Provide the missing information.
-The height of a triangle is 4 ft less than the base x. The area is $126 \mathrm { ft } ^ { 2 }$ . Find the dimensions of the triangle.
A) base $= 18 \mathrm { ft } ;$ height $= 14$
B) base $= 20 \mathrm { ft }$; height $= 16$
C) base $= 18 \mathrm { ft }$; height $= 22$
D) base $= 9 \mathrm { ft }$; height $= 28$

Question

Write the word or phrase that best completes each statement or answers the question.
Provide the missing information.
-The height of a triangle is 4 ft less than the base x. The area is $126 \mathrm { ft } ^ { 2 }$ . Find the dimensions of the triangle. 
A) base $= 18 \mathrm { ft } ;$ height $= 14$
B) base $= 20 \mathrm { ft }$; height $= 16$
C) base $= 18 \mathrm { ft }$; height $= 22$
D) base $= 9 \mathrm { ft }$; height $= 28$

Quizplus · Accepted Answer

The area of a triangle is given by $ \frac{1}{2} \times \text{base} \times \text{height} $. Given that the height is 4 ft less than the base (height = base - 4) and the area is 126 ft², we can set up the equation $ \frac{1}{2} \times x \times (x - 4) = 126 $. Solving this equation leads to the base x = 18 ft and the height = 14 ft.

Write the Word or Phrase That Best Completes Each Statement 126ft2126 \mathrm { ft } ^ { 2 }126ft2

Write the Word or Phrase That Best Completes Each Statement $126 \mathrm { ft } ^ { 2 }$