A 100 m2hay shed is to be extended to give 475 m2of oor space in total, as shown. All angles are right angles. Find the value of x.

Step-by-step explanation:

Given

See attachment for floor space

Required

Find x

The floor can be partitioned into three space.

The dimension and the area of each space is:

Dimension: 10 by 10

Dimension: 10 by x

Dimension: x by x

So, the total area is:

Given that:

So, we have:

Rewrite as:

Expand

Factorize

Factor out x + 25

Solve:

x cannot be negative; So:

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step-by-step explanation:

answer: bearing in mind that a rectangle has a perimeter of length + length + width + width.

step-by-step explanation:

p = perimeter

l = length

x=width

p = 2l + 2x

p = 2(l+x)     < ==== perimeter of the base of the box.