Question

a seed company planted a floral mosaic of a national flags.the perimeter of the flag is 560 feet determine the flags length and width if the length is 40 feet greater that width.write three situation to which you could apply the resulting system of equations

Answer 1

Let
x------------> the flags length
y------------> the flags width
P----------> perimeter

we know that
p=2x+2y------> 2x+2y=560----------> equation 1
and
x=y+40-------------> equation 2
substitute 2 in 1
2*(y+40)+2y=560-----------> 2y+80+2y=560--------> 4y=480------> y=120
x=y+40-------> 120+40----------> x=160

the answer is
the flags length is 160 ft
the flags width is 120 ft

Part 2) Write three situation to which you could apply the resulting system of equations 1) It can be used when considering the relationship between the price of a product and the quantities of the product that people want to buy at a certain price. 2) It can be used to determine the speed, distance and time duration when traveling by car, and you want to know the values ​​of the unknown variables in your trips. 3) It can be used to determine the most convenient loan option to buy a car or a house when considering the duration of the loan.