Question

Find the new dimensions of the figure given at right when it is enlarged by scale factor of 2.5 then find the perimeter and area of the original and enlarge it figure

Answer 1

The perimeter and area of the original are 20 ft and 23.5 square ft and the enlarged figure are50 ft and 146.875 square ft.

What is Geometry?

It deals with the size of geometry, region, and density of the different forms both 2D and 3D.

The figure is the combination of a triangle and a square.

The area of the original (A₀) figure will be

$\rm A_o = \dfrac{1}{2} \times 3 \times 5 + 4 \times 4\\\\A_o = 23.5 \ ft^2$

The perimeter of the original figure (P₀) will be

$\rm P_o = 3 + 5 + 4 + 4 + 4\\\\P_o = 20 \ ft$

The scale factor is 2.5.

Then the dimension of the triangle will be

h = 2.5 × 3 = 7.5 ft

b = 2.5 × 5 = 12.5 ft

Then the dimension of the square will be

a = 2.5 × 4

a = 10 ft

The area of the new figure will be

$\rm A = \dfrac{1}{2} \times 7.5\times 12.5 + 10*10\\\\ A = 146.875 \ ft^2$

The perimeter of the new figure will be

$\rm P= 7.5 + 12.5 + 10+ 10+ 10\\\\P = 50 \ ft$

More about the geometry link is given below.

brainly.com/question/7558603

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