Question

Estimate the area of the figure. Each square represents 25 mi2.

Answer 1

about 625 mi^2

Explanation:

The picture of the question in the attached figure

The options are

about 625 mi2

about 525 mi2

about 725 mi2

about 825 mi2

we know that

The area of the figure can be divided into two triangles, one rectangle and three trapezoids

see the attached figure

so

step 1

Find the area of the two triangles

`A=(1)/(2)(2)(3)+(1)/(2)(2)(1) =3+1=4\ units^2`

step 2

Find the area of rectangle

`A=(1)(3)=3\ units^2`

step 3

Find the area of the three trapezoids

`A=(1)/(2)(4+5)(1) +(1)/(2)(2+4)(1) +(1)/(2)(3+2)(4)`

`A=4.5+3+10=17.5\ units^2`

step 4

Adds the areas

`A=4+3+17.7=24.7\ units^2`

step 5

Convert to mi^2

Remember that

Each square represents 25 mi2

so

`24.7(25)=617.5\ mi^2`

therefore

about 625 mi^2