Price of Land

[nycmathguy]

Section 6.2

Can you do 59 as a guide for me to do 60?

 

[MathLover1]

59.

given:
sides length
a=510yd
b=840yd
c=1120yd
1 acre=4840 yd^2
The price of the land $2000 per acre.

you need area, so use Heron’s formula
area: A =sqrt(s(s-a)(s-b)(s-c))

s=(a+b+c)/2
s=(510+840+1120)/2=1235

A =sqrt(1235(1235-510)(1235-840)(1235-1120))
A =sqrt(40672409375)
A =201674.02yd^2

convert to acres

A =201674.02yd^2(1acre/4840 yd^2)
A =201674.02acre/4840
A =41.66819 acres

The price of the land p=$2000/ acre.

cost=A*p
cost=41.66819acre*$2000/ acre
cost=41.66819*$2000
cost=41.66819*$2000
cost=$83336.38

 

[nycmathguy]

59.

given:
sides length
a=510yd
b=840yd
c=1120yd
1 acre=4840 yd^2
The price of the land $2000 per acre.

you need area, so use Heron’s formula
area: A =sqrt(s(s-a)(s-b)(s-c))

s=(a+b+c)/2
s=(510+840+1120)/2=1235

A =sqrt(1235(1235-510)(1235-840)(1235-1120))
A =sqrt(40672409375)
A =201674.02yd^2

convert to acres

A =201674.02yd^2(1acre/4840 yd^2)
A =201674.02acre/4840
A =41.66819 acres

The price of the land p=$2000/ acre.

cost=A*p
cost=41.66819acre*$2000/ acre
cost=41.66819*$2000
cost=41.66819*$2000
cost=$83336.38

Cool. I will do 60 likewise.