Question

The scale drawing of a rectangle floor mat has dimensions 9 inches by 8 inches. The length of the longer side of the actual mat is 63 ft. Enter the area, in square feet of the actual mat. can someone help, i missed some school and now i can't understand how to answer the question so please sent help!!!!!1

Answer 1

`3,528\ ft^2`

Explanation:

step 1

Find the scale drawing

The scale drawing is the ratio between corresponding measures

we know that

The longer side of the actual mat is 63 ft

The longer side of the scale drawing mat is 9 in

so

The scale drawing is

`(9)/(63)\ (in)/(ft)`

Simplify

`(1)/(7)\ (in)/(ft)`

That means

1 inch in the scale drawing represent 7 feet in the actual

step 2

Find how many feet represent 8 inches

Multiply by 7

`8\ in=8(7)=56\ ft`

step 3

Find the area of the actual mat

The dimensions are 56 ft x 63 ft

so

The area is

`A=(56)(63)=3,528\ ft^2`