Answer:
3 ft by 8 ft
Step-by-step explanation:
We were given the area as 24 square feet which means that
L×w= 24....eqn(1)
We were given the perimeter as 22 square feet which means that
22= 2(L +w).......eqn(2)
If we divide both cause by 2 in eqn(2) we have
11= L+ w .....eqn(3)
W= 11-L.........eqn(4)
Substitute eqn(4 into eqn(1)
L× (11-L)=24
-L^2 +11L-24=0
If we factorize
(L-8)(L-3)
L=3 or 8
From eqn4)
W=11-L
At L=3
W=11-3=8
Hence, the dimension is 3 ft by 8 ft
The question above makes use of the concept of ratio and proportion in a form of scaling. If we let x and y be the true length and width, the equations that best describe them are,
0.5 cm / 1 inch = 2.5 cm / x in ; x = 5 in
0.5 cm / 1 inch = 4.75 cm / y in ; y = 9.5 in
Therefore, the true length and width of Rueben's flag is 5 in and 9.5 in, respectively.
30=5(x+1)
30÷5=6
6=x+1
6-1=5
x=5
