Question

the face of a lamp shade is shaped like a trapezoid. the dimensions of the face are shown in the diagram. 6 in y in x in y in 10 in
which equation can be used to find A. the area of the face of the lamp shade in square inches
A. = 1/2 (6+10)y
B. = 1/2 (6+10)x
C. = 1/2 (6)+(10)x
D. = 1/2 (6)+(10)y

Answer 1

Given :- The face of a lamp shade is shaped like a trapezoid. the dimensions of the face are shown in the diagram. 6 in y in x in y in 10 in . which equation can be used to find A. the area of the face of the lamp shade in square inches

A. = 1/2 (6+10)y

B. = 1/2 (6+10)x

C. = 1/2 (6)+(10)x

D. = 1/2 (6)+(10)y

Answer :-

we know that,

• Area of trapezium = (1/2) * (sum of parallel sides) * height .

from image we can see that,

• Parallel sides of lamp shade is shaped like a trapezoid = 6 inch and 10 inch .
• Height of trapezoid = x inch .

so,

→ Area of the face of the lamp shade = (1/2) * (6 + 10) * x = (1/2)(6 + 10)x inches² (B) (Ans.)

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