Question

a rectangle measures 4 inches by 10 inches. it is dilated using a scale factor of 2.5. what is the area in square inches of the dilated rectangle? (1 point)
○ 40
○ 250
○ 2,500
○ 160

Explanation:

Step1: Find dilated length and width

Original length \( l = 10 \) in, width \( w = 4 \) in. Scale factor \( k = 2.5 \).
Dilated length: \( l' = l \times k = 10 \times 2.5 = 25 \) in
Dilated width: \( w' = w \times k = 4 \times 2.5 = 10 \) in

Step2: Calculate area of dilated rectangle

Area formula for rectangle: \( A = l' \times w' \)
\( A = 25 \times 10 = 250 \) square inches

Answer:

250