MATH SOLVE

4 months ago

Q:
# A. the total area of the model is 130 m2. write an equation to find x.b. solve the equation by completing the square. (x + 2)(2x + 2) = 130; x = 5.12 m (x + 2)(2x + 2) = 130; x = 6.70 m (x + 2)(2x + 2) = 130; x = 6.58 m (x + 2)(x + 2) = 130; x = 9.40 m

Accepted Solution

A:

the complete question in the attached figure

we know that

[area of rectangle]=b*h

b=(x+2)

h=(2x+2)

Area=130 m²

then

130=(x+2)*(2x+2)--------> 2x²+2x+4x+4-130=0--------> 2x²+6x-126=0

the answer Part a)

the equation to find x is

[2x²+6x-126=0]

b.) solve the equation by completing the square

130=(x+2)*(2x+2)

using a graph tool

see the attached figure

the solution is

x=6.58 m

the answer Part b) is

(x + 2)(2x + 2) = 130; x = 6.58 m

we know that

[area of rectangle]=b*h

b=(x+2)

h=(2x+2)

Area=130 m²

then

130=(x+2)*(2x+2)--------> 2x²+2x+4x+4-130=0--------> 2x²+6x-126=0

the answer Part a)

the equation to find x is

[2x²+6x-126=0]

b.) solve the equation by completing the square

130=(x+2)*(2x+2)

using a graph tool

see the attached figure

the solution is

x=6.58 m

the answer Part b) is

(x + 2)(2x + 2) = 130; x = 6.58 m