The face of the triangular concrete panel shown has an area of 22 square meters, and its base is 3 meters longer than twice its height. Find the length of the base.

The length of the base is 11 meters.

Step-by-step explanation:

The diagram of the triangle is not shown; However, the given details are enough to solve this question.

Given

Shape: Triangle

Represent the height with h and the base with b

Required

Find the length of the base

The area of a triangle is calculated as thus;

Substitute 22 for Area and 3 + 2h for b

The formula becomes

Multiply both sides by 2

Open the bracket

Subtract 44 from both sides

Rearrange

At this point, we have a quadratic equation; which is solved as follows:

Split the above

Solve the above linear equations separately

Add 4 to both sides

---- First value of h

Subtract 11 from both sides

Divide both sides by 2

------ Second value of h

Since height can be negative, we'll discard

Hence, the usable value of height is

Recall that

Substitute 4 for h

Hence, the length of the base is 11 meters

1 1/4 hours

step-by-step explanation:

2/4 + 2/4 + 1/4 = 5/4 or 1 1/4