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Aliun [14]
4 years ago
7

7) The area of rectangle A is twice the area of square B. Find x. 12

Mathematics
1 answer:
Veronika [31]4 years ago
6 0

Answer:

Step-by-step explanation:

A=2B

AreaA= Area of a rectangle=Base* height = base (12-x)*height(4) = 48-4x

AreaB = Area of rectangle=base(x) *Height(x) =x^2

Since A=2B

48-4x =2x^2

Divide both sides of the equation by 2

24-2x=x^2

Put everything all on one side

X^2-2x-24=0

(x+4)(x-6)=0

X=-4 and x=6

Only x makes sense since it’s not negative or else your base or one of your sides would be negative

So x=6

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<span>( A) IF ⇒⇒ a=1.5 and b=1.7
</span>
<span>∴ √( a² + b² ) = √( 1.5² + 1.7²) = √5.14 ≈ 2.27
</span>
===================================

<span>(B) IF ⇒⇒ a=1.5 and b=3.3
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<span>∴ √( a² + b² ) = √(1.5² + 3.3²) = √13.14 ≈ 3.62
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====================================

<span>(C) IF ⇒⇒ a=1.7 and b=2.8
</span>
<span>∴ √( a² + b² ) = √(1.7² + 2.8²) = √10.73 ≈ 3.28
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====================================

<span>(D) IF ⇒⇒ a=2.8 and b=3.3
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=====================================
So, the correct answer is option (C) <span>a=1.7,b=2.8</span>
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