A rectangular parking lot is enclosed by 400 feet of fencing. The longer sides are three times as long as the shorter sides. What is the area of the lot?

Well 50 times 3 is 150 and 150+150=300, 300+50+50=400 and to find the area you have to do lengthy times width. 50 times 150= 7500 and also you have to put to the second power over feet so Ima put a * but you put a 2. "7500ft*" is your answer

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jhonjez jhonjez · Answer 2 · 2019-10-14T19:17:06+02:00

Answer:

Area = 7500 square feet

Step-by-step explanation:

Hello

Step 1

formule the equations

the equation for the perimeter of a rectangle is given by:

P=2*length+ 2* wide

Let length(L) the longer side and wide(W)

P=2L+2W

400=2L+2W,equation (1)

Step 2

the longer sides is three three times the shorter

it means

L=3W, equation 2

replace the value of L from equation (2) in equation (1) and solve for W

400=2L+2W

400=2(3W)+2W

400=6W+2W

400=8W

W=400/8

W=50 ft

now, replace the value of W in equation 2 to find L

L=3W

L=3*50 ft

L=150 ft

Step 3

find the area using

Area= length * wide

replace

Area=150 ft * 50 ft

Area = 7500 square feet .

Have a great day