Aflower bed is the shape of a triangle with one side twice the length of the shortest side and the third side is 22 feet more than the length of the shortest side. find the dimensions if the perimeter is 134 feet.

The three sides are  

36

f

t

,  

72

f

t

and  

59

f

t

.

Explanation:

Let the length of the shortest side of the triangular flower bed be  

x

feet.

Then the length of the second side is  

2

x

and

the length of the third side is  

x

+

23

The given perimeter is  

167

f

t

hence:

x

+

2

x

+

x

+

23

=

167

4

x

+

23

=

167

4

x

=

167

−

23

4

x

=

144

x

=

144

4

=

36

2

x

=

2

⋅

36

=

72

x

+

23

=

36

+

23

=

59

The length of the three sides of the triangular flower bed are  

36 ft,  

72 ft

and  

59 ft

answer: c, the green line

step-by-step explanation:

there is no black line, eliminate b.

simple interest implies periodic payments, but the red line shows no payments, eliminate d.

simple interest has equal payments. if paid say every day, the graph is about a straight line (actually a stairstep).

the yellow line is not straight, eliminate a.

check: the green line is straight, answer is c.

simple interest with positive interest rate gives a straight line sloping up to the right. green line:

g(t) = $100 + ($200-$100) ÷ (20 years) × (t years)

= $100 + (4%/year) × ($100)(t years)

incidentally, the yellow line curving upward represents continuously compounded interest

y = $100 × 2^(t years / (14 assuming the yellow line hits $200 at 14 years. 2^0 is 1, so y(0) = $100; 2^(14/14) is 2, so y(14) = $200.

the answer is 62.8 cubic units