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Anna35 [415]
3 years ago
7

The perimeter of (the distance around) ABCD is 66, and DC is twice as long as CB. How long is AB?

Mathematics
1 answer:
ArbitrLikvidat [17]3 years ago
3 0

Answer:

AB=22\ units

Step-by-step explanation:

we know that

In this problem ABCD is a rectangle

so

DC=AB

BC=AD

Let

BC ---> the length of rectangle

DC ---> the width of rectangle

we know that

The perimeter of rectangle is equal to

P=2(BC+DC)

we have

P=66\ units

so

66=2(BC+DC)

simplify

33=BC+DC ----> equation A

DC=2BC ----> equation B

substitute equation B in equation A

33=BC+2BC

Solve for BC

Combine like terms

33=3BC

Divide by 3 both sides

BC=11\ units

<em>Find the value of DC</em>

DC=2BC ----> DC=2(11)=22\ units

Remember that

DC=AB

therefore

AB=22\ units

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