The question does not make sense.
You can construct an infinite number of
rectangles that have an area of 144 cm².
141 cm x 1 cm
72 cm x 2 cm
36 cm x 4 cm etc.
A semicircle is inscribed in a rectangle with area 144 square centimeters. In square cm, what is the area of the semicircle?
3 answers
They say it is 36Pi sq.cm
If whole semicircle lie in rectangle then width is equal radius of semicircle.
W = r
Length is equal diametar of semicircle.
L = d = 2 r
Area of rectanlgle:
A = L ∙ W
144 = 2 r ∙ r
144 = 2 r²
Divide both sides by 2
72 = r²
r² = 72
Area of circle:
A = r² ∙ π
Area of semicircle:
A = r² ∙ π / 2
A = 72 ∙ π / 2
A = 36 π cm²
W = r
Length is equal diametar of semicircle.
L = d = 2 r
Area of rectanlgle:
A = L ∙ W
144 = 2 r ∙ r
144 = 2 r²
Divide both sides by 2
72 = r²
r² = 72
Area of circle:
A = r² ∙ π
Area of semicircle:
A = r² ∙ π / 2
A = 72 ∙ π / 2
A = 36 π cm²