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

b. A = 48 ft2

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 = the product of the diagonals

Here A = 48, d₁ = 4 + 4 = 8 and d₂ = x, thus

48 = × 8 × x = 4x ( divide both sides by 4 )

x = 12 ft

60

step-by-step explanation:

linear pair postulates