What is the total surface area of this rectangular pyramid?

square meters

The total surface area = 10956 m²

Step-by-step explanation:

∵ The pyramid is rectangular pyramid

∴ It has a rectangular base with dimensions of 50 m and 78 m

∴ It has four faces each two opposite are congruent

* to find the total surface area, we will find the area of

  each face and add them together

- Area base = L × W

∴  Area base = 50 × 78 = 3900 m² ⇒ (1)

- Area of triangular face of dimensions:

 base = 50 m and height = 60 m

∵ Area triangle = 1/2 × base × height

∴ Area triangle = 1/2 × 50 × 60 = 1500 m²

∵ We have another triangle congruent to this triangle (opposite faces)

∴ Area of the two congruent faces = 1500 × 2 = 3000 m² ⇒ (2)

- Area of triangular face of dimensions:

 base = 78 m and height = 52 m

∵ Area triangle = 1/2 × base × height

∴ Area triangle = 1/2 × 78 × 52 = 2028 m²

∵ We have another triangle congruent to this triangle (opposite faces)

∴ Area of the two congruent faces = 2028 × 2 = 4056 m² ⇒ (3)

∴ Add (1) , (2) and (3)

∴ The total surface area = 3900 + 3000 + 4056 = 10956 m²

step-by-step explanation:

let

we know that

the y-intercept is the y-coordinate of the point when the value of x is equal to zero

so

the y-coordinate of the point a is the y-intercept

the answer part a) is

the value of y-intercept is

part b) find the slope m

we know that

the value of the slope is equal to

substitute the values

therefore

the answer part b) is

the value of the slope is equal to

the general answer is

the slope is

the value of y-intercept is