If the areas of the 4 squares are 50, 32, 18 and 12, what is the ratio of the small shaded portion to the area of the large shaded portion? a. 1: 8
b. 1: 6
c. 1: 4
d. 1: 3
e. 1: 1

D. 1:3

Step-by-step explanation:

Given that the areas of the 4 squares are 50, 32, 18 and 12,

Area of the small shade portion portion = 18 - 12 = 6

Area of the large shade portion portion = 50 - 32 = 18

Therefore, the ratio of the small shaded portion to the area of the large shaded portion

= 6:18

= 1:3

Option D.

c. 27 units.

step-by-step explanation:

we are told that in circle a, ∠bae ≅ ∠dae.

we can see from our given diagram that in and ;

, as these are radii of our given circle.

therefore, by sas congruence postulate.

hence, side be will be equal to side de as corresponding parts of congruent triangles are congruent. so we can set an equation to find the value of x as:

now let us substitute x=17 in the expression for the length of be.

therefore, length of be will be 27 units and option c is the correct choice.