The ratio of length to width of a rectangular garden is 6:7. If the perimeter of the rectangle is 78 cm.What is the area of the garden?

A: 274

B: 378

C: 352

D: 380

Correct Answer : B

The perimeter (P) of a rectangle is given by the formula:

 P=2 × (length + width)

In this case, the perimeter is given as 78 cm. Therefore:

78 = 2 × ( 6x + 7x )

Combine like terms:

78 = 2 × 13x

Divide both sides by 2:

39 = 13x

Solve for x:

X = 39/13 = 3

Now that we have the value of x, we can find the length and width of the rectangle:

Length = 6x = 6 × 3 = 18cm

Width = 7x = 7 × 3 = 21cm

Now, we can find the area (A) of the rectangle using the formula:

A = length × width

A = 18cm × 21cm

A = 378cm2

Therefore, the area of the rectangular garden is 378cm2.

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