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1 answer:
Answer:
a. Length = 13 yards and Width = 21 yards.
b. Area of rectangle = 273 square yards.
Step-by-step explanation:
Let the length of the rectangular garden be L
Let the width of the rectangular garden be W
Given the following data;
Perimeter of garden = 68 yards
Translating the word problem into an algebraic equation, we have;
W = 2L - 5 ......equation 1
Note: The formula for calculating the perimeter of a rectangle is;
68 = 2L + 2W ........equation 2
Substituting eqn 1 into eqn 2;
68 = 2L + 2(2L - 5)
68 = 2L + 4L - 10
68 = 6L - 10
6L = 68 + 10
6L = 78
L = 78/6
L = 13 yards
To find the width;
W = 2L - 5
W = 2(13) - 5
W = 26 - 5
W = 21 yards.
b. To find the area of the garden;
Area of rectangle = length * width
Area of rectangle = 13 * 21
Area of rectangle = 273 square yards.
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