Question

Question 4
1 pts
The length of the rectangle is 2ft longer than its width. Find
its perimeter if you know that it's area is 19.25ft2
O 18ft
O 14ft
O 9ft
O 3.5ft
None of the above.
1 pts
Question 5​

Answer 1

Answer:

18ft

Step-by-step explanation:

L = length

W = width

l = w + 2ft ; because the is 2 ft longer than width

The area of a rectangle is lw

You can take the first equation ( l = w + 2 ) and plug it in lw

like this: lw ---> (w+2)w = w^2+2w

then from the question you get: w^2+2w=19.25

you use the quadratic formula and get w = 3.5

then from the first equation, you get l = 3.5+ 2 so the length is 5.5

lastly, you use the perimeter formula: 2(l+w) so 2(9) = 18

so 18ft