11. The length of a rectangle is decreased by 25% and the width is increased by 40%. Calculate
the percentage change in the area of the
rectangle.

Step-by-step explanation:

given.quesion.

The length of a rectangle is decreased by 25% and the width has increased by 40% calculate the percentage change in the area of the rectangle

to. find.

area of the rectangle

given

decreased. 25•/•

increased.40•/•

solusion

Length = L

Breadth = B

Original area = L x B

New area = A = L x (1 - 25%) x B x (1 + 40%)

A = L x B x 0.75 x 1.40 = L x B x 1.05

Therefore the area of the rectangle has increased by 5%.

required answer.

5•/•

answer. with. explamation. in. attachment.

hope. it's. helps. you.

c. 27 units.

step-by-step explanation:

we are told that in circle a, ∠bae ≅ ∠dae.

we can see from our given diagram that in and ;

, as these are radii of our given circle.

therefore, by sas congruence postulate.

hence, side be will be equal to side de as corresponding parts of congruent triangles are congruent. so we can set an equation to find the value of x as:

now let us substitute x=17 in the expression for the length of be.

therefore, length of be will be 27 units and option c is the correct choice.