What are u trying to solve the equation for X or Y
Answer:
Largest AREA A = x × y = 250 × 500/3 = 125000 / 3 = 41666.67 ft²
Dimensions; X = 250 ft and Y = 500/3 ft
Step-by-step explanation:
Given the data in the question;
2x + 3y = 1000 -------- EQU 1
2x = 1000 - 3y
x = 500 - 3y/2
AREA = x × y = (500 - 3y/2)y
= 500y - 3/2y²
dA/dxy = 500 - 3y = 0
3y = 500
y = 500/3
so from equ 1
2x + 3(500/3) = 1000
2x = 1000 - 500
x = 250
So; Largest AREA A = x × y = 250 × 500/3 = 125000 / 3 = 41666.67 ft²
Dimensions; X = 250 ft and Y = 500/3 ft
Let L be the length
Let w be the width
Let p be the perimeter
L+w+L+w=p
L=w+20
3L+2w+3L+2w=240
Sub the first equation in for L in the second equation and solve for w
3(w+20)+2w+3(w+20)+2w=240
3w+60+2w+3w+60+2w=240
10w+120=240
10w=240-120
10w=120
W=120/10
W=12
Sub w into the first equation and solve for L
L=w+20
L=12+20
L=32
Hope this helps!