The length of a rectangle is 3 cm greater than its width. the perimeter is 24 cm. find the dimensions of the rectangle. 3 cm, 9 cm 4.5 cm, 7.5 cm 7.5 cm, 10.5 cm 10.5 cm, 13.5 cm

The dimensions of the rectangle are; B. 4.5 cm, 7.5 cm.

Given the following data:

Translating the word problem into an algebraic equation, we have;

To find the dimensions of the rectangle;

Mathematically, the perimeter of a rectangle is given by the formula;

Substituting the values into the formula, we have;

Opening the bracket, we have;

Width, W = 4.5 cm

Next, we would find the value of L;

Substituting the value of W, we have;

Length, L = 7.5 cm

Therefore, the dimensions of the rectangle are 4.5 cm and 7.5 cm.

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Length (L): w + 3

width (w): w

Perimeter (P) = 2L + 2w

                24 = 2(w + 3) + 2(w)

                24 = 2w + 6 + 2w

                24 = 4w + 6

                18 = 4w

                18/4 = w

                9/2 = w

                4.5 = w

Length (L): w + 3   = 4.5 + 3   = 7.5

width = 4.5 cm, length = 7.5 cm

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