Find the value of x, given the area of the quadrilateral.
a. A = 63 cm2
b. A = 48 ft2


Answer:
see explanation
Step-by-step explanation:
(a) The figure is a parallelogram
The area (A) of a parallelogram is calculated as
A = bh ( b is the base and h the perpendicular height )
Here A = 63, b = 7 and h = x, thus
63 = 7x ( divide both sides by 7 )
x = 9 cm
(b) The figure is a kite
The area (A) of a kite is calculated as
A = [tex]\frac{1}{2}[/tex] the product of the diagonals
Here A = 48, d₁ = 4 + 4 = 8 and d₂ = x, thus
48 = [tex]\frac{1}{2}[/tex] × 8 × x = 4x ( divide both sides by 4 )
x = 12 ft
a. The value of x should be 9 cm.
b. The value of x should be 12 ft.
Since
In the first figure, it denotes the parallelogram
So, area = base (height)
So,
63 = 7 (height)
So, the height is 9 cm. The
b. The value of x should be
48 = 0.50× 8 × x = 4x
x = 12 ft
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