The sides of the frame are (12+2x) and (6+2x).
Its area A is 112.
Therefore by equating:
(12+2x)*(6+2x)=112
you can get the answer for x. You will obtain a quadratic equation you have to solve.
Answer:
The height of the lighthouse is 
Step-by-step explanation:
Let
h -----> the height of the lighthouse
we know that
The tangent of angle of 68 degrees is equal to divide the height of the lighthouse by the horizontal distance from the buoy to the base of lighthouse
so

Solve for h

Answer: 18 1/6 feet
Step-by-step explanation:
From the question, we are informed that the rectangular sand box has a length of 5 1/3 feet and a width of 3 3/4 feet.
The perimeter would be calculated as:
= 2(length + width)
= 2( 5 1/3 + 3 3/4)
= 2( 5 4/12 + 3 9/12)
= 2( 8 13/12)
= 2 (9 1/12)
= 2 × 9 1/12
= 2 × 109/12
= 218/12
= 18 2/12
= 18 1/6 feet
Answer:
x=11
Step-by-step explanation:
48-4=44
44/4=11
x=11
11+1=12
12•4= 48
Let's call the width: w
the lenght is then 3w+4 ("4 more than 3 times the width")
and the parameter would be 2(w+3w+4), that is 2*(4w+4), that is 8w+8.
this is also equal to 18.4:
8w+8=18.4
8w=10.4
w=1.3
this is the width, and the lenght is:
4+3*1,3=4+3.9=7.9
and the area is their product:
1.3*7.9=10.27