3. Our school Malinta National High wants to put up
a rectangular vegetable garden. The space for the
garden has an area of 84sq meters and a perimeter
of 38 meters. What are the dimensions of the
garden?
a rectangular vegetable garden. The space for the
garden has an area of 84sq meters and a perimeter
of 38 meters. What are the dimensions of the
garden?
Answers & Comments
The dimension is L = 12 m, W = 7 m.
Solution:
From this case, formulated to find the length and width
perimeter:
2 x (L + W) = 38 m
L + W = 38/2
L + W = 19
Therefore
W = 19 - L
space/ area:
L x W = 84
L x (19 - L) = 84
L²– 10L + 84 =0
(L - 12)(L - 7)=0
L = 12 or L = 7
These 2 possibilities here:
If L = 12 m, W = 7 m
and
If L = 7 m, W = 12 m
DIMENSIONS
Length is the first dimension to measure. Length is always the longest flap-bearing side of the box. The width dimension follows the height. The breadth side has a flap as well, but it is always shorter than the length.
Use 30 square feet for the area and 6 feet for the width in this example. Formulate the area equation: A = L X W where A represents the area, L represents the length, and W represents the width of a rectangle. Solve the equation for area: 30 = L X 6. Divide all sides of the equation by 6, and write the result down.
P = (L + W) 2 is the perimeter formula for a rectangle, where P represents perimeter, L represents length, and W represents width. When given the dimensions of a rectangle, you can solve for its perimeter by simply plugging in the values of L and W into the formula.
Learn more about examples of dimensions here:
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