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3 years ago

Can someone please help me out

Mathematics

1 answer:

const2013 [10]3 years ago

8 0

Answer:

x = 8, A = 182 units²

Step-by-step explanation:

The perimeter P of a rectangle is calculated as

P = 2l + 2b ( l is the length and b the breadth )

Given P = 66, then

2(7) + 2(3x + 2) = 66 ← distribute and simplify left side

14 + 6x + 4 = 66

6x + 18 = 66 ( subtract 18 from both sides )

6x = 48 ( divide both sides by 6 )

x = 8

Then

3x + 2 = 3(8) + 2 = 24 + 2 = 26, so

A = 7 × 26 = 182 units²

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