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Karo-lina-s [1.5K]
3 years ago
10

find the area of a rectangle that has a length of 8.3 inches. and a width that is 0.6 times the length. show work please

Mathematics
2 answers:
grigory [225]3 years ago
6 0
Find the width first...8.3×0.6.....then find the area....length × width= 8.3×4.9=40.67....that's what I got
ValentinkaMS [17]3 years ago
6 0
Area=length×width
8.3
×0.6
=====
6×3=18 put down 8 and carry the
6×8=48 + the 1 =498
498...now count how many numbers are behind the decimals...2 = 4.98 4.98 × 8.3 = 41.334in (2)
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the height of a triangle is 9m less than its base. the area of the triangle is 56 m^2 find the length of the base (SHOW STEPS)
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Hey there :)

We know the area formula of a triangle
\frac{1}{2} (base)(height)

We are given:
The area = 56 m²
The base = let p represent this
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Apply the formula
56 = \frac{1}{2} × ( p ) × ( p - 9 )
56 = \frac{1}{2} × ( p² - 9p )

Divide \frac{1}{2} on both sides
56 ÷ \frac{1}{2} = p² - 9p
112 = p² - 9p

Bring 112 to the other side and equate equation to 0
p² - 9p - 112

Factorise { Sum = -9 , Product = - 112 , therefore suitable factors = - 16 × 7 )
( p - 16 )( p + 7 ) = 0
     ↓          ↓
 p = 16    p = - 7  ←  Reject p = - 7 since length cannot be negative

So, the length  of the base is 16 m

Check:
56 m² = \frac{1}{2} × 16 × ( 16 - 9 )
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