Question

If △NMO ∼ △XYZ, and the area of △NMO is 147 square feet, find the area of △XYZ

Answer 1

The area of △XYZ according to the figure is 363ft²

Area of triangles

The formula for calculating the area of a triangle is expressed as:

A = 0.5bh

• b is the base
• h is the height

Calculate area of each triangles

For the triangle  △NMO

Area of  △NMO = 0.5bh

147 = 0.5b(14/12)

147 = 7b/12

7b = 12 * 147

b = 252

b = 252ft

b = 3024in

Get the base of △XYZ

14/3024 = 22/XZ

XZ = 4,752in

Area of △XYZ = 0.5 (4,752)(22)

Area of △XYZ= 52,272in²

Area of △XYZ = 363ft²

Hence the area of △XYZ is 363ft²

Learn more on area of triangles here: brainly.com/question/17335144