Question

Work out the area of painting P, thanks!

Answer 1

2600
`cm^2`

Explanation:

Let's find the area of both paintings in order to find x

P = Q + 1400

Use distributive property

P = 40(3x - 10) = 120x - 400

Q = 30(x + 15) = 30x + 450

Substitute P and Q

120x - 400 = 30x + 1400 + 450

120x - 400 = 30x + 1850

Plus 400 on both sides and minus 30x on both sides.

90x = 2250

Solve

x = 25

Substitute x to find the area of P

3x - 10 = 75 - 10 = 65

65 * 40 = 2600

The answer is 2600
`cm^2`

Hope this helps :)

Have a good day!

Answer 2

Solution: (3x-10)x4–30x(x+15)

=120x-400-30x-450

=90x-850

=1400

90x=2250

x=25

so p=40x(3x-10)

=40x(3x35-10)

=40x65

=2600 cm^2

give me crown I did hard work for your answer