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Lera25 [3.4K]
3 years ago
9

A rectangle has a length of (x+5)and a with of x Write down the expression for the area of a rectangle If the area is 24cm²,find

the value of
Mathematics
1 answer:
ratelena [41]3 years ago
8 0

Answer: Width = 3cm

Length = 8cm

Step-by-step explanation:

Length = x+5 cm

Width = xcm

Area = 24cm²

Area of a rectangle = length × width

x × (x + 5) = 24

x² + 5x = 24

x² + 5x - 24 = 0

x² + 8x - 3x - 24 = 0

x(x + 8) - 3(x + 8) = 0

x - 3 = 0

x = 3

Width = 3cm

Since length = x + 5 = 3 + 5 = 8cm

Length = 8cm

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