Ascale drawing of a rectangular mural has the dimensions 2 inches by 3 inches. the scale is 0.5 inches : 5 feet. find the actual dimensions of the mural. then find the dimensions of another scale drawing with the scale 0.25 inches : 10 feet.

Part A) The actual dimensions of the mural are 20 ft by 30 ft

Part B) The dimensions on the new scale drawing are 0.50 in by 0.75 in

Step-by-step explanation:

Part A) we know that

A rectangular mural has the dimensions 2 inches by 3 inches

The scale of the drawing is

using proportions

Find out the dimensions of the actual mural

For 2 inches

For 3 inches

therefore

The actual dimensions of the mural are 20 ft by 30 ft

Part B) Find the dimensions of another scale drawing with the scale 0.25 inches : 10 feet.

To find out the dimensions in the new scale drawing, multiply the actual dimensions by the new scale

The new scale is

For 20 ft

For 30 ft

therefore

The dimensions on the new scale drawing are 0.50 in by 0.75 in

d) 30 units^2

area of rectangle = l × b

we know,

length = 10 unit

breadth = 3 unit

applying the formula,

= l × b

= 10 × 3

= 30 unit^2

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