can someone help with these two questions...I will give medals and fan..? 7. The perimeter of a rectangle is 50 feet and its area is 154 feet. What are the dimensions of the
rectangle?
8. Stephanie is a very good soccer player. She can kick a soccer ball with an initial velocity of
21.3 m/sec. The function that represents the height of the ball with respect to time is ℎ 𝑥 =
−4.9𝑥2 + 21.3𝑥. About how many seconds will it take for the ball to hit the ground?

Question

can someone help with these two questions...I will give medals and fan..? 7. The perimeter of a rectangle is 50 feet and its area is 154 feet. What are the dimensions of the
rectangle?
8. Stephanie is a very good soccer player. She can kick a soccer ball with an initial velocity of
21.3 m/sec. The function that represents the height of the ball with respect to time is ℎ 𝑥 =
−4.9𝑥2 + 21.3𝑥. About how many seconds will it take for the ball to hit the ground?

saylilbaby · Answer

@Awolflover1 @pooja195 @AngusV @Preetha @robtobey

vocaloid · Answer

for the first one:

area = length*width
and 
perimeter = 2(length+width)

we know that area = 154 = l*w, we can solve this equation for w by dividing both sides by l
154/l = w

then, you can substitute this for w in the perimeter equation to find w, then use the area equation to find l


for the second one:

h(x) = −4.9𝑥2 + 21.3𝑥 

when the ball is on the ground, that means h(x) = 0 (height = 0)
so, to find the time it takes for the ball to reach the ground, set h(x) = 0 and solve for x

one of the x values will be 0 and the other x value will be your answer