Zekes family is planning to build a new house The floor plan

Zeke\'s family is planning to build a new house. The floor plan is drawn to a scale of 1/4 in = 1 ft. Use your knowledge of proportions to answer the following questions. (A) Fill in the blanks below to convert the scale. 1/4 in: 1 ft 1 in = ____ ft 1 in = _____ in (B) If the measured length (L) on the drawing is 3 inches, then how many feet long will Zeke\'s room be? ____ (A) If the width of Zeke\'s room is to be 10 ft. how many inches should the width (W) be on the drawing? ______ T F If an angle of one triangle is congruent to an angle of a second triangle and the lengths of any two sides in the first and second triangles are proportional, then the triangles are similar.

Solution

(20) (A) ---

Given that ----

1/4 in = 1 ft

By multiplying by 4 in both sides ---

1/4 × 4 in = 1×4 ft

1 in = 4 ft

(B) 1 in = 4 ft

Here Zeke\'s room length is = 3 in = 3×4 ft = 12 ft

(C) here width (w) = 10 ft

On drawing ---

1 ft = 1/4 in

10 ft = 10×(1/4) = 2.5 inches

(21) answer is F, because angle must be between those both sides.