How scaling changes area

Answer Key - Grade 7 Math Worksheet - Challenge Me

Circle the best answer, or write your answer on the line.

1. 1.

   Pia's bedroom plan has the scale 1 cm : 2 m. The real bedroom covers how many times as much area as the plan?

   40,000
2. 2.

   Ren's model castle has the scale 1 inch : 4 feet. The real castle wall covers how many times as much area as the model wall?

   2304
3. 3.

   Tala's town map has the scale 1 cm : 5 m. The real town covers how many times as much area as the map?

   250,000
4. 4.

   Esme's school plan has the scale 1 cm : 3 m. The building has a square courtyard cut out of its middle, as shown. How many square meters does the real building cover?

   396
5. 5.

   Jun's park plan has the scale 1 cm : 2 m. The lawn has a square pond cut out of it, as shown. How many square meters of real grass is there?

   244
6. 6.

   Kira's playground plan has the scale 1 cm : 5 m. The playground has a square sandpit cut out of it, as shown. How many square meters of real ground is there?

   500
7. 7.

   Luz's school map uses 1 cm : 4 m, and the field is 3 cm by 5 cm. Luz redraws it at 1 cm : 2 m. How many square cm is the field now?

   60
8. 8.

   Milo's zoo map uses 1 cm : 10 m, and the yard is 2 cm by 5 cm. Milo redraws it at 1 cm : 4 m. How many square cm is the yard now?

   62.5
9. 9.

   Noah's library plan uses 1 cm : 3 m, and the room is 7 cm by 8 cm. Noah redraws it at 1 cm : 6 m. How many square cm is the room now?

   14
10. 10.

    Side 1 | ?, area 1 | 1/9 (the picture is not printed to size). Ren shrinks a kite design A onto a sticker B, similar shapes. B covers 1/9 as much area as A. What is the scale factor from A to B?

    1/3