Answer:
The area is 2,600 cm^2
Explanation:
The area of a rectangle is the product of its sides
And the difference between both areas is 1,400 cm^2 (P-Q)
Thus, we have it that;
40(3x-10) - (30(x + 15)) = 1,400
120x - 400 - 30x - 450 = 1400
120x -30x -400-450 = 1400
90x - 850 = 1400
90x = 1400 + 850
90x = 2,250
x = 2,250/90
x = 25
The area for painting P
is;
40 (3x - 10)
Substituting the value 25 for x
we have
40 ( 3(25) -10)
= 40(75-10)
40 * 65 = 2,600 cm^2