The diagonal of a rectangle is 15cm, and the perimeter is 38cm. What is the area?

Hey dude!

a² + b² = 15² = 225

P = 2a + 2b = 2(a + b) = 38

P² = 4(a + b)² = 38²

4(a² + 2ab + b²) = 1444

Substitute a² + b² with 225

4(2ab + 225) = 1444

2ab + 225 = 361

2ab = 136

ab = 68 cm²

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option 3 . (5x + 1) - (-10x + 6)

step-by-step explanation:

option 1 :

(4x + 3) + (-9x + 4)

or 4x+3 -9x + 4

or -5x + 7

option 2

(x - 2) - (6x - 9)

or x-2-6x + 9

or -5x + 7

option 3

(5x+ + 6)

or 5x + 1 + 10x -6

or 15x -5

option 4

-4x+2x+7-3x

-7x + 2x + 7

-5x + 7

hence only option 3 did   not satisfy the given simplify expression.