1. persegi panjang mempunyai panjang (× +7 ) cm dan lebar (× - 2) cm. jika kelilingnya tidak lebih dari 50 cm, tentukan luas maksimum peesegi panjang tersebut,
liwonsubagyo
Keliling = 2 ( p + l ) 50 = 2 ( x + 7 + x - 2 ) 50 = 2 ( 2x + 5 ) 2x + 5 = 50 : 2 2x + 5 = 25 2x = 25 - 5 2x = 20 x = 10 Panjang = x + 7 = 10 + 7 = 17cm lebar = x - 2 = 10 - 2 = 8cm Luas = p x l = 17 x 8 = 136cm²
50 = 2 ( x + 7 + x - 2 )
50 = 2 ( 2x + 5 )
2x + 5 = 50 : 2
2x + 5 = 25
2x = 25 - 5
2x = 20
x = 10
Panjang = x + 7
= 10 + 7
= 17cm
lebar = x - 2
= 10 - 2
= 8cm
Luas = p x l
= 17 x 8
= 136cm²