The diagram shows a square (6x - 1) cm by (4x + 6) cm find the length of the side of the square

1 answer:

3 0

Since the diagram is a square and squares have equal sides, you set the the equations equal to each other because they'd have the same measurement.

6x - 1 = 4x + 6

Subtract 4x from each side.

2x - 1 = 6

Add 1 to each side.

2x = 7

Divide by 2 to isolate the variable.

x = 7/2

Now plug this in to either equation to find the length of the side.

6(7/2) - 1 = 21 - 1 = 19 cm.

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bill is replacing his 15ft long by 12 ft wide deck. his new deck will add 5 feet to the length and 4 feet to the width. if a dra

Ira Lisetskai [31]

The dimensions i.e. length and width of the deck in the drawing is 8 and 6.4 inches respectively.

Given that the length of the previous deck = 15 feet

The width of the previous deck = 12 feet

Since the new deck will add 5 feet to the length and 4 feet to the width,

The length of the new deck = 15 + 5 = 20 feet

The width of the new deck = 12 + 4 = 16 feet

Also given that a drawing of the new deck uses a scale of 1 inch = 2.5 feet.

So, The length of the deck in the drawing = 20/2.5 inches = 8 inches

The width of the deck in the drawing = 16/2.5 inches = 6.4 inches