Solve the problem.
-A rectangular sign is being designed so that the length of its base, in feet, is 10 feet less than 4 times the height, h. Express the area of the sign as a function of h.
A) $A ( h ) = - 10 h + 4 h ^ { 2 }$
B) $A ( h ) = - 10 h + h ^ { 2 }$
C) $A ( h ) = 10 h - 2 h ^ { 2 }$
D) $A ( h ) = - 10 h ^ { 2 } + 2 h$

Question

Quizplus · Accepted Answer

The area of a rectangle is given by the formula $A = l \times w$, where $l$ is the length and $w$ is the width (or height in this case). Given that the length is $10$ feet less than $4$ times the height, we can express the length as $l = 4h - 10$. Therefore, the area as a function of height $h$ is $A(h) = h \times (4h - 10) = 4h^2 - 10h$.

Solve the Problem A(h)=−10h+4h2A ( h ) = - 10 h + 4 h ^ { 2 }A(h)=−10h+4h2

Solve the Problem $A ( h ) = - 10 h + 4 h ^ { 2 }$