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The perimeter of a rectangle is 52 cm. If its width is 2 cm more than one-third of its length, find the dimensions of rectangle.

(A) 12 cm x 4 cm (B) 18 cm x 8 cm (C) 15 cm x 9 cm

Respuesta :

Answer:

(B) 18 cm × 8 cm

Step-by-step explanation:

Perimeter of a rectangle  =  52 cm

2(length + width)  =  52 ==>  l + w  =  26

Let x be the length

width  =  (x/3) + 2

x + (x/3) + 2  =  26

[(3x + x)/3]  + 2 =  26

4x / 3  =  24

4x  =  24 (3)

x  =  6(3) ==>  18 cm

Width  =  (18/3) + 2

=  6 + 2  =  8 cm

So, the required dimension is 18 cm x 8 cm.

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Thank You!

Answered by: ms115

Answer:

  • B. 18 * 8.

Step-by-step explanation:

Let the perimeter be:

  • 52 cm.

Find the numbers for the perimeter:

For A:

  • (12 cm + 4 cm) * 2 = 32.

That means A is incorrect.

For B:

  • (18 + 8) * 2 = 52 cm.

That means B is correct.

For C:

  • (15 + 9) * 2 = 48 cm.

That means C is incorrect.

Correct choice is B.