Find the surface area of the composite solid. round the answer to the nearest hundredth

135.39

Step-by-step explanation:

The solid consist of 4 triangles and a 5 rectangles.

Formula to calculate area of triangle is

1/2 (height) (base)

Formula to calculate area of rectangle is

length x width

so

Total surface area of the composite solid is

2( 4(4) + 6(4) + 1/2(√13)(4) + 1/2(2√2)(6) ) + 6(4)

111.39 + 24

135.39

Total area = 135 .39 square yard

Step-by-step explanation:

Given : composite figure.

To find : Find the surface area of the composite solid. Round the answer to the nearest hundredth.

Solution : We have given a composite figure with rectangle base and four triangles .

Base of two triangle  =  4 yd .

Height of two triangle = √13 yd .

Base of other two triangle  =  6 yd .

Height of other two triangle = 2√2 yd .

Area of rectangle  = length * width .

Area of rectangle  = 6 *4

Area of rectangle  = 24 square yard .

Area of all rectangle = 3 *24 = 72 square yard

Area of two square = 2( 4*4) = 32 square yard.

Area of triangle  = .

Area of triangle= .

Area of triangle = 2√13 .

Area of two triangle  = 2 * 2√13 .

Area of two triangle  = 4√13 square yard.

Area of other triangle  = .

Area of other triangle  = 3* 2√2

Area of other triangle  = 6√2.

Area of other two triangle  = 2 *6√2.

Area of other two triangle  = 12√2 square yard.

Total area = Area of  3 rectangle + Area of two triangle + Area of other two triangle + area of square

Total area =  72 + 4√13 +  12√2 + 32

Total area = 135 .39 square yard.

Therefore, Total area = 135 .39 square yard.