Respuesta :

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.

Calculation of the value of x:

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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