Question

Bianca makes a scale drawing of a rectangular garden. the length is 9 in., and the width is 6 in. bianca changes the scale of the drawing from 1 in. : 3 ft to 1 in. : 4 ft. which statement about the dimensions of the garden is true? the width of the garden under the new scale is 24 ft. the length of the garden under the new scale is 12 ft. the length of the garden under the old scale is 36 ft. the width of the garden under the old scale is 27 ft.

Answer 1

The only true statement is that the width of Bianca's garden under the new scale of 1 inch: 4 feet is 24 feet, because the original width of 6 inches would correspond to 6 inches multiplied by the scale factor of 4 feet per inch.

Step-by-step explanation:

Bianca made a scale drawing of a rectangular garden with a length of 9 inches and a width of 6 inches. When changing the scale from 1 inch: 3 feet to 1 inch: 4 feet, we need to recalculate the actual dimensions according to the new scale.

• The width of the garden under the new scale is not 24 feet since 6 inches × 4 feet/inch equals 24 feet; so, this statement is true.
• The length of the garden under the new scale is 36 feet since 9 inches × 4 feet/inch equals 36 feet. Therefore, the statement that it is 12 feet is false.
• The length of the garden under the old scale is 27 feet since 9 inches × 3 feet/inch equals 27 feet; therefore, the statement that it is 36 feet is false.
• The width of the garden under the old scale is 18 feet since 6 inches × 3 feet/inch equals 18 feet; hence, the statement that it is 27 feet is false.

In conclusion, the only true statement about the dimensions of the garden is that the width of the garden under the new scale is 24 ft.