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marshall27 [118]
2 years ago
12

Find the area of these shapes

Mathematics
1 answer:
alexira [117]2 years ago
7 0

Answer:

Step-by-step explanation:

Left figure:

area of rectangle = 4×6 = 24 cm²

area of triangle = ½×(base of triangle)×(height of triangle) = ½×6×4  = 12 cm²

area of shape = 24+12 = 36 cm²

Right figure:

area of rectangle = 6×8 = 48 m²

area of triangle = ½×(base of triangle)×(height of triangle) = ½×8×(8-6) = 8 m²

area of shape = 48+8 = 56 m²

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marusya05 [52]
Area of the rectangular yard = 96 square feet
Let us assume the length of the yard = x feet
Width of the yard = x - 4 feet
Then
Area of the yard = length * width
96 = x(x - 4)
96 = x^2 - 4x
x^2 - 4x - 96 = 0
x^2 - 12x + 8x - 96 = 0
x(x - 12) +8(x - 12) = 0
(x - 12)(x + 8) = 0
As the value of length cannot be negative so
x - 12 = 0
x = 12
So
Length of the yard = 12 feet
Width of the yard = x - 4 feet
                             = 12 - 4 feet
                             = 8 feet
Then
Perimeter of the yard = 2 (length + width)
                                   = 2(12 + 8)
                                   = 2 * 20 feet
                                   = 40 feet.
So the perimeter of the yard  is 40 feet.
6 0
3 years ago
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