Question

Can someone help me?

The areas of the two rectangles below are equal. There are two possible areas. One is 105 u2

What is the other one?

Answer 1

144 u²

Explanation:

⇒ Areas are equal

• (6x + 15)(2x + 7) = (4x + 7)(2x + 15)
• 12x² + 42x + 30x + 105 = 8x² + 60x + 14x + 105
• 4x² = 2x
• x = 1/2

Calculating the areas

1. (6 x 1/2 + 15)(2 x 1/2 + 7) = 18 x 8 = 144
2. (4 x 1/2 + 7)(2 x 1/2 + 15) = 9 x 16 = 144

The other one is 144 u²